Further exercises

For pages 185–6

A1. Explain why lakes and rivers freeze from the top down and not from the bottom up. Answering the following questions may be the best way to do this. If the air above a shallow lake gradually cools from say 10oC downwards, what happens to the temperature of the water at the surface of the lake? What mixing, if any does this cause? Why? Does there come a point at which this mixing stops? Why? As the air temperature cools to below 0oC, where does ice form first? Does it stay there? Why? Data in Exercise 2 on page 190 may be useful. Note also that the density of ice at 0oC is 0.917 g/mL.
 What is the significance of this for fish?
 
A2.

Some students made up solutions of sodium chloride in water of known composition (grams of NaCl per 100 g solution). They then pipetted 5.00 mL of each solution into a weighed beaker and determined the mass of the solution. The experiment was performed at 25oC. Their results were:
Composition  (g NaCl 
per 100 g solution)
5.00 10.00 15.00 20.00
Mass of 5.00 mL of solution (g) 5.16 5.32 5.54 5.73

 

 

(a)

Draw a graph of density of solution versus per cent composition. They also knew that the density of pure water at 25oC was 0.997 g/mL. Include this point on your graph also. How does density vary with composition?

(b) Sea water is 3.5% sodium chloride. What is its density at 25oC?
(c) A sample of bore water had a density of 1.01 g/mL at 25oC. Assuming that the only salt it contained was sodium chloride, estimate its per cent composition.
(d) Using your answer in (b), what happens to a ship when it moves out of fresh water into sea water? Does it sink further into the water, rise further out of the water or remain unaffected? Explain.
 
A3. (a)

Use the data below to draw a graph of freezing point versus per cent composition (g NaCl per 100 g solution) for solutions of sodium chloride.
Composition    0   2.0   6.0  10.0  16.0  20.0  23.0
Freezing point (oC) 0.0 –0.4 –1.6 –3.6 –9.0 –15.0 –21.2

(b)

What is the freezing point of (i) sea water (3.5% NaCl) (ii) a 17.5% NaCl solution? What is the composition of a solution that freezes at (iii) 12.5oC (iv) 22oC?

(c) From your graph, what would be the freezing point of a 25% solution? How confident are you about your prediction? Why?
(d) In countries that have regular snowfalls leading to ice formation on roads, the roads are often sprinkled with salt to cause the ice to melt. Explain how this works.
 
A4. If a sample of pure water is boiled in an open beaker, the temperature remains constant throughout the process. However if a sample of sea water is similarly boiled in an open beaker the temperature gradually increases during the boiling process. Explain these different observations.
  
A5. Is clean drinking water a renewable resource? Explain. Relate your answer to the current efforts being made by Sydney Water to persuade people to use less water.
 

For page 190

B1. Draw electron-dot diagrams and structural formulae for the molecules formed from the following atoms:
(a)  two fluorine atoms (c)  silicon and hydrogen atoms
(b)  an oxygen and two chlorine atoms (d)  arsenic and fluorine atoms
B2. Which (if any) of the molecules in Exercise B1 is(are) polar? The shapes of these molecules are: (a) linear  (b) bent  (c) tetrahedral  (d) pyramidal. Explain your reasoning.
B3. Place molecular chlorine, sodium chloride and trichloromethane, CHCl3 in order of increasing boiling points. Give reasons for your predictions.
B4. Both the B–Cl and P–Cl bonds are polar. However boron trichloride is non-polar while phosphorus trichloride is polar. Offer an explanation for this.

For page 194

C1. The molecular weight of hydrogen fluoride is the same as the atomic weight of neon Give a reason for the boiling point of hydrogen fluoride being so much greater than that of neon (HF 19oC, Ne –246oC)
 
C2. Methanol, CH3OH has an OH group and three H atoms attached to a central C atom; methanal, CH2O, has an O atom and two H atoms attached to a central C atom. Which compound would you expect to have the higher boiling point? Explain why.
 
C3. What, if anything, is wrong with the following statement: despite having similar molecular weights (32 and 34 respectively) hydrazine, H2N–NH2, has a higher boiling point than phosphine, PH3, because the chemical bonds in hydrazine are stronger than those in phosphine.
 
C4. Hydrogen peroxide, HOOH, is a liquid at room temperature whereas oxygen, O2 or OO, is a gas; hydrogen peroxide is readily soluble in water while oxygen is only sparingly soluble. Offer explanations for these facts.
 
C5. Give an explanation for the difference in boiling points for the following pairs of substances.
(a) sulfur dichloride (59oC) and magnesium chloride (1437oC)
(b) Methanol, H3C–OH (64.7oC) and bromomethane, H3C–Br (3.6oC)
 
C6. (a) Using values from Table 7.2 on page 185 and others given here, list the following compounds in order of decreasing surface tension.
water, ethanol, H3C–CH2–OH, methanol, H3C–OH (23 mN m–1), ethylene glycol, HO–CH2–CH2–OH, hexane, C6H14 (18), pentane, C5H12, (16).
(b) What, if any, correlation is there between surface tension and magnitude of intermolecular forces in these compounds. Offer an explanation for any correlation that exists.
 

For page 200

D1. Draw diagrams on the molecular or ionic level of aqueous solutions of 
(a)
magnesium sulfate (b) urea, H2N–CO–NH2 
Identify the ions, if any, in each solution.
 
D2. Which of the following substances do you expect to be soluble in water? Give a reason for your prediction for each compound in the list.
calcium bromide, tetrafluoromethane, CF4, nickel, ammonia, carborundum, SiC, nitrous acid, HONO, glucose, neon.
 
D3. Nickel chloride crystallises with six moles of water per mole of nickel chloride.  Give the formula and name for the hydrated compound.
If 4.82 g of the hydrate were heated until all the water had been vaporised, what mass would remain?
 
D4. Magnesium chloride exists as a hydrate. When the compound is heated it loses its water of crystallisation. 2.64 g of this hydrate was heated to a constant mass of 1.24 g. Calculate the formula of the hydrate and name it.
 
D5. (a) If a sewing needle is very gently placed horizontally on the surface of water in a large beaker, the needle floats. Explain why, bearing in mind that the density of the needle is much greater than that of the water.
(b) However if one repeats the experiment using water that contains a small amount of detergent (surfactant), the needle does not float, no matter how carefully one does the experiment. Explain why. 
 
D6. Dimethyl ether and ethanol both have the same molecular formula, C2H6O, but they have different structures:
                    
Each dash represents a shared pair of bonding electrons.
Ethanol is very soluble in water whereas dimethyl ether is insoluble. Explain why.
 

For page 207

E1. Give the name and formula for the precipitate (if any) that forms when the following pairs of solutions are mixed:
(a) silver nitrate and potassium iodide (f) sodium carbonate and potassium chloride
(b) aluminium chloride and sodium hydroxide (g) potassium carbonate and iron(II) sulfate
(c) ammonium nitrate and copper sulfate (h) silver nitrate and calcium chloride
(d) lead nitrate and sodium sulfide (i) zinc nitrate and barium hydroxide
(e) barium chloride and sulfuric acid
 
(j) ammonium sulfide and iron(III) sulfate
E2. Write net ionic equations for all reactions that occurred in Exercise E1.
 
E3. (a) For the first, third and fifth equations you wrote in Exercise E2 rewrite them as complete ionic equations.
(b) For the second, fourth and eighth equations rewrite them as neutral species equations.
 
E4. How would you prepare samples of the following substances using precipitation reactions?
(a) lead sulfate (b) magnesium carbonate (c) copper sulfide
 

For page 212

F1. 100.0 g ammonium chloride was stirred with 200.0 g water for a considerable time then allowed to stand overnight. The solid remaining at the bottom of the container was filtered off, dried and weighed. It had a mass of 21.3 g. Calculate the solubility of ammonium chloride in g per 100 g water.
 
F2. The solubility of potassium nitrate is 37 g / 100 g water at 25oC. If you mixed 
(a)
22 g potassium nitrate with 50.0 g water (b) 71 g with 200 g water, would all the solid dissolve? Explain.
 
F3. (a) Use the data below to draw a graph of solubility of potassium chlorate, KClO3, as a function of temperature. Solubility is given as grams of solute per 100 g water.
Temperature (oC) 10 30 50 70 80 90 100
Solubility (g / 100 g) 5 10 18 28 34 42 52
(b) What is the solubility of potassium chlorate at (i) 14oC (ii) 87oC?
(c) At what temperature is the solubility of potassium chlorate (i) 15 g / 100 g (ii) 48 g / 100 g?
(d) If 70 g KClO3 was mixed with 200 g water at 90oC, would a clear solution result? Why? If the mixture was cooled to 10oC, what would you observe? Be as quantitative as possible. Explain your observation.
 
F4. Solutions of sodium hydroxide and calcium nitrate were mixed; the total volume was 100 mL. A precipitate of calcium hydroxide formed. After many hours analysis showed that 0.016 mol Ca2+ ions remained in solution. 2.00 g solid calcium hydroxide was shaken with 100 mL water. How many moles of calcium ion would you expect to be in the solution after several hours? Explain why. Why was a long time allowed before the analysis was performed in the first experiment and why could you only make a prediction for a long time after mixing the solid and water in the second experiment?
 
F5.

The table below gives relative electrical conductivities (R.E.C.) for aqueous solutions (of suitable concentrations) of several substances.

Substance sodium chloride sucrose A B C D E F
R.E.C. 100     0.01 200 0.02 80 7 0.01 4

(a)

First classify substances A, B, C, D, E and F as electrolytes or non-electrolytes. Then, for the electrolytes, decide whether they are strong or weak.

(b) State whether substances A, B, C, D, E and F would be present in aqueous solution as:
(i) molecules (ii) ions (iii) mostly molecules but a few ions.

 
F6. The weak electrolytes in the table in Section 3 of the Supplementary material section above were acetic acid, CH3CO2H and ammonia NH3. They were weak electrolytes because a small percentage of the molecules reacted with water to form H3O+ and CH3CO2 ions (from acetic acid) and NH4+ and OH (from ammonia). On the other hand nitric acid was a strong electrolyte, meaning that all of its molecules reacted with water to form H3O+ and NO3 ions. For these three ionisations write chemical equations that show the strength or weakness of the ionisations. Which (if any) of these ionisations is (are) an equilibrium reaction?
 
F7. Sodium hydroxide reacts with nitrous acid, HNO2, to form sodium nitrite. Write an equation for this reaction. The relative electrical conductance of a nitrous acid solution was 12 (on a scale where hydrochloric acid was 250 and sodium hydroxide 150). After addition of just sufficient sodium hydroxide to convert all the nitrous acid to sodium nitrite, the relative electrical conductance was 90. Is (a) nitrous acid (b) sodium nitrite a strong or weak electrolyte? Explain how you decided this. What does this tell you about the species present in a solution of (a) nitrous acid (b) sodium nitrite?
 

For page 217

G1. Calculate the per cent composition of a saturated solution of sodium chloride which contains 36 g solute per 100 g water.
 
G2. (a) The solubility of Epsom salts (magnesium sulfate) in water is 0.36 g / g water. Express this as grams per kilogram of water and as mass percent, %(w/w).
(b) The solubility of copper sulfate is 220 g / kg water. Express this in g / g water and as mass per cent.
(c) Using an approximate density of the solutions of 1.0 g / mL, express the concentrations in (a) and (b) in grams per litre.
 
G3. (a) What mass of an 8.0% aqueous sodium chloride solution do you need to take in order to have 40 g NaCl?
(b) If an experiment requires 5.0 g sulfuric acid, what mass of a 1.0% solution of sulfuric acid in water should you take?
(c) A saturated aqueous solution of ammonium chloride at 25oC contains 39 g solute per 100 g water. The density of the solution is 1.1 g /mL. Calculate the solubility in g / L.
 
G4. (a) To make 200 g of a 5% solution of sodium chloride in water, what mass of NaCl is needed?
(b) How much sucrose should be dissolved in 25 mL water to make a 15%(w/v) solution? Assume negligible volume change from water to solution upon mixing.
 
G5. (a) 12.3 g lead nitrate was dissolved in water and the volume make to 250.0 mL Calculate the concentration of the solution in g / 100 mL and in g / L.
(b) 10 mL (by pipette) of this solution was diluted to 500 mL (volumetric flask). Calculate the concentration of this diluted solution in g / L and in ppm. Assume the density of the diluted solution is 1.00 g/mL.
 
G6. (a) A solution was 24 ppm in magnesium ion. Calculate the concentration in 
g / L (assuming a density of 1.00 g/mL).
(b) What mass of copper sulfate pentahydrate would you dissolve in 2.00 L of water to make a solution that was 16 ppm in Cu2+?
 
G7. If 2.00 mL of a 4.8%(w/v) solution of lead nitrate was diluted to 100 mL, what would the new concentration be? What volume of this diluted solution would you dilute to 1.00 L to make a solution that was 3.0 ppm in Pb2+ ion?

For pages 220–1

H1. Calculate the concentrations in mol/L of solutions that contain:
(a) 0.048 mol Ca(OH)2 in 2.00 L (c) 37.0 g KCl in 100 mL
(b) 0.214 mol MgSO4 in 250 mL (d) 3.97 g Pb(NO3)2 in 500 mL
 
H2. (a) How many moles of sodium hydroxide are needed to make 250 mL of a 0.500 mol/L solution?
(b) How many moles of ammonia are needed to make  100 mL of a 0.355 mol/L solution?
(c) What masses of the solutes are needed for the solutions in (a) and (b)?
 
H3. (a) What mass of sodium nitrate is required to make 500 mL of a 0.133 mol/L solution?
(b) What mass of barium hydroxide is required to make 2.00 L of a 
4.5 x 10–3 mol/L solution?
 
H4. How many moles of solute are there in
(a) 37.5 mL of  0.207 mol/L Na2CO3 (c) 25 mL of 2.33 x 10–3 mol/L AlCl3
(b) 18.7 mL of 0.022 mol/L Ca(OH)2 (d) 0.250 L of 1.50 mol/L KI
 
H5. In the solutions in Exercise H4 how many moles are there of
(a) Na+ ion in (a); (b) OH ion in (b); (c) Cl ion in (c)
 
H6. How many grams of solute are there in solutions (a) and (c) of Exercise H4?
 
H7. (a) How many moles of lead iodide are formed when 25 mL 0.266 mol/L potassium iodide is added to a solution containing excess lead nitrate?
(b) If a small excess of magnesium chloride solution is added to 50.0 mL 0.415 mol/L solution of sodium hydroxide how many moles of magnesium hydroxide precipitate out?
(c) What mass of (i) lead iodide (ii) magnesium hydroxide is formed in (a) and (b) respectively?
 
H8. Sodium sulfate solution was added to 100.0 mL of a solution containing lead ions until all the lead had been precipitated as lead sulfate. 0.855 g lead sulfate was formed. What was the concentration in moles per litre of lead ions in the original solution? 
 
H9. 25.0 mL of sea water was accurately diluted to 250 mL. 50.0 mL of this diluted solution required 26.7 mL 0.114 mol/L silver nitrate solution to precipitate out all the chloride as silver chloride. Calculate the molarity of chloride in the sea water. Assuming that all the chloride had been present as sodium chloride, calculate the percentage (w/v) of sodium chloride in the sea water.
 
H10. To determine the concentration of cadmium ion in the waste water from an electroplating factory, an analyst took 250.0 mL of the waste water and slowly added sodium hydroxide solution until no more cadmium hydroxide precipitated. The precipitate was filtered off, washed and dried and weighed; it had a mass of 0.642 g.  Calculate the concentration of cadmium ion in the original waste water in mol/L, g/100 mL and in ppm (assuming a density of 1.00 g/mL).

For page 224

J1. What quantity of heat is required to heat
(a) 45 g ethanol from 10oC to 55oC
(b) 32 g ethyl acetate through 25 K?
 
J2. If you spill 10 mL water at 60oC on your hand it burns (stings, hurts) significantly more than if it had been 10 mL ethyl acetate at 60oC. Use Table 8.4 on page 237 to explain why.
 
J3. If 100 g water at 50oC is added with stirring to 250 g water at 20oC in a well insulated container of negligible heat capacity, what will the final temperature be? (Hint: heat flows from the hot water to the cold water: the heat lost by the hot water equals the heat gained by the cold water. Let the final temperature be x; set up an equation for heat lost equals heat gained and solve for x.)
 
J4. If 100 g ethanol at 50oC is added to 250 g water at 20oC as in Exercise J3, what will be the final temperature? The hint in J3 applies here also.
 

For page 226

For Exercises K1 and K2 take the density and specific heat capacity of the final solutions as 1.00 g/mL and 4.2 J K–1 g–1 respectively and assume negligible heat losses.
 
K1. When 8.5 g sodium hydroxide was dissolved in 200 mL water at 18.2oC, the temperature rose to 28.1oC. Calculate the molar heat of solution of sodium hydroxide. Write a chemical equation for the process this refers to.
 
K2. The molar heat of solution of sulfuric acid is –90 kJ/mol. 10 mL (=18 g) concentrated sulfuric acid (take as 100%) was added to 100 mL water at 20oC. What was the final temperature?
 
K3. A convenient form of heat pack sometimes used by athletes consists of a plastic bag containing a supersaturated solution of sodium thiosulfate. To use it the athlete shakes the bag vigorously to cause the excess thiosulfate to crystallise out of solution. Using information in Exercise 34(b) on page 241, explain how this causes the bag to become hot. What would you do in order to be able to re-use this heat pack?
There is another type of heat pack that consists of a pouch of calcium chloride crystals inside a plastic bag of water. To use this the athlete ruptures the pouch containing the calcium chloride which causes the bag to get hot. Using information in Exercise 34(a) on page 241 explain why this bag of water becomes hot. Is this type of heat pack re-usable? Explain.
 
K4. (a) If a power station discharges 5 x 104 L of used cooling water at 60oC into a lake containing 2 x 106 L of water at 15oC, what will be the final temperature of the lake, assuming complete mixing and no heat losses? (See the hint for Exercise J3.)
(b) The assumptions in (a) are unrealistic. Describe what would be the real effect of discharging this hot water into the lake.
 

Answers to Further exercises

A1. The water at the surface of the lake cools; this causes its density to increase (data in Exercise 2 on page 190) and so it sinks and causes higher temperature water to come to the surface so it in turn cools and sinks. This is normal convection. When the temperature at the surface reaches 4oC, convectional mixing stops because as the water cools below 4oC its density decreases  and so it remains on the surface. (In the table in Exercise 2 it looks like 5oC, but more extensive data shows that the maximum density occurs at 4oC.) Hence the surface water cools to 0oC while water below the surface remains at 4oC. Ice therefore forms on the surface of the lake. Ice has a lower density than water at 0oC or 4oC so it stays on the surface (floats). Water below the ice is very slowly cooled by conduction (water is a poor conductor) and so the thickness of the ice gradually increases. In other words ice forms from the top down.
The significance of this for fish is that there is generally a layer of liquid water (at about 4oC) under the ice of a frozen lake: species of fish common to areas where lakes freeze can survive quite well at such low temperatures. Only under extreme conditions does a lake freeze completely to the bottom. If the lake completely froze, the fish would die, first because they could not move or feed but also because there would be insufficient oxygen dissolved in the ice.
 
A2. (b) 1.022 g/mL (c) 1.7% 
(d) rises up (because of the greater density, less water has to be displaced to support the weight of the ship)
 
A3. (b) (i) –0.9oC (ii) –11.0oC (iii) 18.5% (iv) 23.2%
(c) –28oC. Not very, because it involves an extrapolation beyond the range of the experimental points. In fact the freezing point versus composition curve has a decided break at 23%: the freezing point then starts to increase as composition increases. There is a freezing point minimum of –21.2oC at 23% NaCl. A 25% solution has a freezing point considerably above 21oC though there is no way of telling this from the data given.
(d) Adding salt to ice lowers the freezing point to a value below ambient air temperature and so the ice melts.
 
A4. As the sea water is boiled it loses water so the concentration of salt in the remaining water increases.  Dissolved substances increase the boiling point as was shown by Exercise 3 on Page 190 (they also decrease the freezing point – that exercise and Exercise A3). Hence as concentration increases, the boiling point increases. When pure water is boiled there is no change in concentration, so boiling point remains constant at 100oC.
 
A5. Yes. Waste water flows to rivers and oceans where as part of the natural water cycle pure water evaporates to form clouds that produce rain that runs back into rivers and reservoirs to be used again.
Primarily Sydney Water wants to delay as long as possible the need to build new dams to meet the demands of a growing population (because a new dam would cause considerable detrimental environmental effects in the Sydney region). Another factor is to reduce the cost of treating and piping increasing quantities of water to households.
 
B1.
The structural formulae are:
B2. (b) and (d); 
(b) because O–Cl bonds are polar and the molecule is bent so the two polar bonds 'add' up to give a net dipole.
(d) because As–F bonds are polar and the molecule is pyramidal so the three polar bonds 'add' up to produce a net dipole
In (a) the bond is non-polar (same atoms on each end) so the molecule is non-polar. In (c) the four bonds are non-polar and so the molecule is non-polar. Even if the bonds were polar they would cancel out to make a non-polar molecule because SiH4 has a symmetrical tetrahedral shape.
  
B3. Cl2 < CHCl3 < NaCl
NaCl is an ionic lattice and so strong electrostatic attractions between ions prevent ion pairs separating and forming a vapour so boiling point is very high. Both chlorine and trichloromethane are small covalent molecules so it is relatively easy to separate molecules from one another (only weak intermolecular forces holding molecules to one another). Chlorine is non-polar so there are only weak dispersion forces present; trichloromethane is polar (three polar C–Cl bonds adding up to give a net dipole) so there are dipole–dipole forces as well as dispersion forces, so CHCl3 has a higher boiling point than chlorine.
  
B4. BCl3 must have a symmetrical structure so that the three B–Cl dipoles cancel out and make the molecule non-polar. PCl3 must be non-symmetrical so that the three P–Cl dipoles do not cancel out, leaving the molecule polar.
  
C1. There is hydrogen bonding in HF; this is the strongest type of intermolecular force so it causes HF to have a high boiling point. In neon there are only weak dispersion forces so its boiling point is very low.
 
C2. Methanol, because there are hydrogen bonds between pairs of molecules. In methanal there are only dipole–dipole interactions plus dispersion forces which are much weaker.
 
C3. It is intermolecular forces that determine boiling points, not the strength of chemical bonds within individual molecules. Hydrazine has the higher boiling point because of strong hydrogen bonds that are not present in phosphine (which has only weak dispersion forces). (Actually the N–N bond in hydrazine is much weaker than the P–H bonds in phosphine.)
 
C4. There are strong hydrogen bonds between pairs of H2O2 molecules but only weak dispersion forces in O2 so H2O2 has a much higher boiling point. In aqueous solution H2O2 forms hydrogen bonds with water and so it has a high solubility. O2 forms only weak dispersion forces with water so its solubility is low.
 
C5. (a) SCl2 is a small covalent molecule with relatively weak intermolecular forces and so a low boiling point; MgCl2 is an ionic lattice and so has a very high boiling point (no discrete molecules in the solid).
(b) There are strong intermolecular forces in methanol because hydrogen bonding occurs (H attached to O) but only weak intermolecular forces in CH3Br (no hydrogen bonding) and so methanol has a much higher boiling point.
 
C6. (a) water > ethylene glycol > ethanol = methanol > hexane > pentane
(b) It appears that provided molecular weights are not too different, surface tension increases as intermolecular forces increase. Water, ethylene glycol, ethanol and methanol with strong hydrogen bonding have higher surface tensions than hexane and pentane  (very weak intermolecular forces).
For an explanation for how intermolecular forces give rise to surface tension, see pages 192–3 and Figure 7.8.
  
D1. Your diagrams should show:
(a) Mg2+ and SO42– ions scattered randomly through the solution: no molecules.
(b) neutral molecules of urea scattered randomly through the solution: no ions.
 
D2. Soluble: CaBr2 (ionic), ammonia (strong hydrogen bonds with water or reacts with water), nitrous acid (strong hydrogen bonds with water or reacts with water), glucose (strong hydrogen bonds with water)
Insoluble: CF4 (covalent molecule), nickel (metal: the only metals that dissolve in water are those that react with it such as Na and Li), carborundum (covalent lattice), neon (non-polar atom or molecule because in this case the atom is a molecule)
 
D3. NiCl2.6H2O, nickel chloride hexahydrate; 2.63 g
 
D4. MgCl2.6H2O (1.24 g is 0.0130 mol MgCl2; 1.40 g H2O is 0.0778 mol, so 1 : 6)
 
D5. (a) Water does not wet steel so the surface tension of water pulls the needle out of the water; this 'pull' is sufficient to overcome the downward gravitational force resulting from the greater density of the needle.
(b) With detergent in the water the surface tension is much less and so cannot stop the needle sinking.
 
D6. Ethanol forms hydrogen bonds with water whereas dimethyl ether cannot. (Remember that to form hydrogen bonds the hydrogen must be attached to an O, N or F atom.)
  
E1. (a) silver iodide, AgI (f) no precipitate
(b) aluminium hydroxide, Al(OH)3 (g) iron(II) carbonate, FeCO3
(c) no precipitate (h) silver chloride, AgCl
(d) lead sulfide, PbS (i) zinc hydroxide, Zn(OH)2
(e) barium sulfate BaSO4 (j) iron(III) sulfide, Fe2S3
 
E2. (a) Ag+(aq) + I(aq® AgI(s)
The (aq)s in this and the following equations are not completely necessary, but the (s) is.
(b) Al3+(aq) + 3OH(aq® Al(OH)3(s)
(c) no reaction
(d) Pb2+(aq) + S2–(aq® PbS(s)
(e) Ba2+(aq) + SO42–(aq® BaSO4(s)
(f) no reaction
(g) CO32–(aq) + Fe2+(aq® FeCO3(s)
(h) Ag+(aq) + Cl(aq® AgCl(s)
(i) Zn2+(aq) + 2OH(aq® Zn(OH)2(s)
(j) 3S2–(aq) + 2Fe3+(aq® Fe2S3(s)
 
E3. (a) Ag+ + NO3 + K+ + I  ® AgI(s) + NO3+ K+
Pb2+ + 2NO3 + 2Na+ + S2– 
® PbS(s) + 2NO3+ 2Na+
2Na+ + CO32– + Fe2+ + SO42– 
® FeCO3(s) + 2Na+ + SO42–
You could put (aq)s on the reactant ions in these equations but they are not completely necessary: however the (s)s are.
(b) AlCl3(aq) + 3NaOH(aq® Al(OH)3(s) + 3NaCl(aq)
BaCl2(aq) + H2SO4(aq
® BaSO4(s) + 2HCl(aq)
3(NH4)2S(aq) + Fe2(SO4)3(aq
® Fe2S3(s) + 3(NH4)2SO4(aq)
 
E4. Mix solutions of
(a) sodium (or potassium or ammonium) sulfate and lead nitrate
(b) magnesium nitrate (or chloride or sulfate) and sodium (or potassium) carbonate
(c) copper sulfate (or nitrate or chloride) and sodium (or ammonium) sulfide
and then filter off the precipitate and wash and dry it.

  
F1. 39.4 g/100 g
 
F2. (a) no; only 18.5 g would dissolve: 3.5 g would remain as solid
(b) yes; in 200 g water we could dissolve 74 g
 
F3. (a)

(b) (i) (6 ± 0.5) g/100 g (ii) (39.8 ± 0.5) g/100 g
(c) (i) (43 ± 1)o(ii) (96 ± 1) oC (± 2oC is acceptable)
(d) yes, because solubility at 90oC is 42 g/100 g or 84 g/200 g. On cooling solid KClO3 would crystallise out; the amount of solid formed would be 60 g, because the solubility at 10oC is only 5 g/100 g or 10 g in 200 g.
 
F4. 0.016 mol. In both experiments, mixing solutions to form a precipitate and dissolving solid to form a saturated solution, an equilibrium is set up
Ca2+(aq) + 2OH(aq Ca(OH)2(s)
The equilibrium position is the same, regardless of the direction from which it is approached. In the precipitation experiment we have 0.016 mol Ca2+ (and so 0.032 mol OH) in equilibrium with solid Ca(OH)2, so if we start with solid Ca(OH)2 and 100 g pure water we will end up with the same 0.016 mol Ca2+ in solution at equilibrium.
It takes a long time for a solid to reach equilibrium with a solution to make it saturated. It is only at equilibrium that we can make any predictions.
 
F5. (a) A, C, D, F are electrolytes; D and E are non-electrolytes. A and C are strong electrolytes, D and F are weak.
(b) A and C present as ions; D and F mostly as molecules but with a few ions, B and E as molecules only.
 
F6. CH3CO2H + H2O      H3O+ + CH3CO2
NH3 + H2 NH4+ + OH
HNO3 + H2O
® H3O+ + NO3
The reversible arrow shows that the first two reactions do not go to completion: that is, only some of the molecules react to form ions. The forward arrow shows that the last reaction goes to completion.
The first two reactions are equilibrium reactions.
 
F7. HNO2 + NaOH ® H2O + NaNO2 or
HNO2 + OH 
® H2O + NO2
(a) is weak, (b) is strong; because 90 is not much less than 150 (conductivity of salts is usually lower than that of acids or alkalis) whereas 12 is very much less than 150, indicating that only a few of the molecules must have ionised (reacted with water).
In nitrous acid there are mainly HNO2 molecules with only a few ions H+ and NO2 ions . In sodium nitrite there are only Na+ and NO2ions present.
  
G1. 26.5% 
G2. (a) 360 g/kg, 26.5%(w/w)
(b) 0.220 g/g, 18.0%(w/w)
(c) For (a) 360 g/L; for (b) 220 g/L 
G3. (a) 500 g (b) 500 g (c) 310 g/L 
G4. (a) 10 g (b) 3.8 g 
G5. (a) 4.92 g/mL; 49.2 g/L (b) 0.98 g/L; 980 ppm 
G6. (a) 0.024 g/L (b) 0.13 g 
G7. 0.096%; 5.0 mL
 
H1. (a) 0.024 mol/L (c) 4.96 mol/L
(b) 0.856 mol/L (d) 0.0240 mol/L 
H2. (a) 0.125 mol (b) 0.0355 mol (c) 5.00 g; 0.604 g 
H3. (a) 5.65 g (b) 1.54 g 
H4. (a) 7.76 x 10–3 mol (c) 5.83 x 10–5 mol
(b) 4.11 x 10–4 mol (d) 0.375 mol 
H5. (a) 1.55 x10–2 mol (b) 8.22 x 10–4 mol (c) 1.75 x 10–4 mol 
H6. In (a) 0.823 g; in (c) 7.77 x 10–3 mol 
H7. (a) 3.33 x 10–3 mol (c) (i) 1.54 g (ii) 0.606 g 
(b) 0.0104 mol 
H8. 0.0281 mol 
H9. 0.609 mol/L; 3.56%(w/v) 
H10. 0.0175 mol/L; 0.197 g/100 mL; 1970 ppm
J1. (a) 4.9 x 103 J (b) 1.6 x 103 J
J2. Water has a much higher specific heat capacity than ethanol (4.14 compared with 1.94) so the 10 mL water gives out much more heat in cooling from 60oC to body temperature than does ethanol and so there is a greater burning sensation. 
J3. 28.6o
J4. 25.7oC
K1. –39 kJ/mol; NaOH(s) ® NaOH(aq
K2. 59.4o
K3. Exercise 34(b) on page 241 showed that dissolving sodium thiosulfate was endothermic. This means that when sodium thiosulfate crystallises out of solution the process is exothermic (heat released). Hence breaking the supersaturated solution (causing thiosulfate to crystallise out) releases heat and so the pack becomes hot.
Put the pack into hot water (80 to 90oC) for some time until the crystals re-dissolve then cool the pack slowly to room temperature.
Exercise 34(a) showed that dissolution of calcium chloride is exothermic so mixing the solid with water causes dissolution to occur and so heat is released. This pack is not re-usable because there is no easy of separating the solid from the solution.
 
K4. (a) 16.1oC
(b) Mixing would not be very efficient. The water near the outlet would get much hotter than 16.1oC while that at considerable distance away would warm up only slightly. Much of the heat transferred to the lake would be lost to the atmosphere especially if there were regular breezes across the surface of the lake.
The significant rise in temperature near the outlet would have considerable environmental effects: it would accelerate growth of water plants and other aquatic organisms and could damage the breeding cycles of fish, some of which are very sensitive to temperature.