# Solutions Exam 1 and Problem Solutions

**Solutions Exam 1 and Problem Solutions**

**1.** X solid has ionic structure and solubility of it increases with increasing temperature. If solubility of X in water at 15 ^{0}C is 20g X/100 g water, find which ones of the following statements are true for solution prepared by using 10 g X and 50 g water at 15 ^{0}C;

**I.** This solution conducts electric current

**II.** If 30 g water and 5 g X are added to solution under constant temperature, some amount of X stays undissolved.

**III.** If solution is cooled from 15 ^{0}C to 10 ^{0}C, some amount of crystallize.

**Solution:**

**I** . Since structure of X is ionic, when it dissolves in water it decompose into its ions and we know that solutions including ions conduct electric current. I is true.

**II.** After addition of water and X we have;

Mass of water=50+30=80 g

Mass of X=10+5=15 g

At 15 ^{0}C;

100g water dissolves 20 g X

80g water dissolves ? g X

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?=16 g X can be dissolved in 80 g water. Since we have 15 X, solution is unsaturated, so all X is dissolved. II is false.

**III.** At 15 ^{0}C;

100 g water dissolves 20 g X

50 g water dissolves ? g X

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?=10 g X can be dissolved.

This solution is saturated. Thus, since it is endothermic solution ( solubility increases with increasing temperature), when we cool it some X crystallize. III is true.

**2.** There are equal amounts of water in given containers.

Find relation between solubility of CO_{2} gas in water under given conditions.

**Solution:**

Solubility of CO_{2} in water increases with increasing partial pressure of CO_{2} and decreasing in the temperature. I and II has equal temperature but partial pressure of CO_{2} in II is larger than I. So, solubility of II is larger than I.

I and III has equal partial pressure, but temperature of I is lower than III, so solubility of I is larger than III.Relation between them become;

II > I > III

**3.** Graph given below shows relation between solubility and temperature of X and Y solids.

Which one of the following statements are false for this graph?

**I.** Dissolution of X in water is exothermic

**II.** When X solid and X-water solution in equilibrium is heated, amount of solid X decreases

**III.** When saturated Y solution is heated, it becomes unsaturated.

**Solution:**

**I** . Since solubility of X decreases with increasing temperature, it is exothermic. I is true.

**II.** Since solution of X in water is exothermic, when solution is heated, some amount of X crystallize so amount of X solid increases. II is false.

**III.** As you can see from the graph, solubility of Y in water is endothermic. Increasing temperature increases its solubility and saturated solution becomes unsaturated. III is true.

**4.** 25 g salt and 125 g water are mixed and solution is prepared. Find concentration of solution by percent mass.

**Solution:**

Mass of Solute: 25 g

Mass of Solution: 25 + 125 = 150 g

125 g solution includes 25 g solute

100 g solution includes X g solute

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X=20 g %

Or using formula;

Percent by mass=25.100/125=20 %

**5.** How much water must be vaporized from 0,4 molar 200 mL H_{2}SO_{4} solution to make it 1,6 molar at same temperature?

**Solution:**

V=200 mL = 0,2 L

Mole of H_{2}SO_{4};

n=0,4.0,2=0,08mol

n=M.V, M=n/V

1,6 molar=0,08/V=0,05L=50mL

200-50=150mL water must be vaporized.