According to the solubility curve, the solubility of KCl is 30 g in 100 g of water at 10^circ C Which solution below is unsaturated? 20 g KCl in 100 g water 20 g KCl in 50 g water 40 g KCl in 100 g water 80 g KCl in 200 g water

To determine which solution is unsaturated, we need to compare the given solubility values with the solubility curve for KCl at the given temperature.<br /><br />Given information:<br />- The solubility of KCl is 30 g in 100 g of water at $10^{\circ }C$.<br /><br />Let's analyze each solution:<br /><br />1. 20 g KCl in 100 g water:<br /> - The solubility of KCl at $10^{\circ }C$ is 30 g in 100 g of water.<br /> - Since the given amount of KCl (20 g) is less than the solubility (30 g), this solution is unsaturated.<br /><br />2. 20 g KCl in 50 g water:<br /> - The solubility of KCl at $10^{\circ }C$ is 30 g in 100 g of water.<br /> - If we assume the solubility is proportional to the amount of water, then the solubility in 50 g of water would be 15 g.<br /> - Since the given amount of KCl (20 g) is greater than the solubility (15 g), this solution is saturated.<br /><br />3. 40 g KCl in 100 g water:<br /> - The solubility of KCl at $10^{\circ }C$ is 30 g in 100 g of water.<br /> - Since the given amount of KCl (40 g) is greater than the solubility (30 g), this solution is saturated.<br /><br />4. 80 g KCl in 200 g water:<br /> - The solubility of KCl at $10^{\circ }C$ is 30 g in 100 g of water.<br /> - If we assume the solubility is proportional to the amount of water, then the solubility in 200 g of water would be 60 g.<br /> - Since the given amount of KCl (80 g) is greater than the solubility (60 g), this solution is saturated.<br /><br />Therefore, the only unsaturated solution is the first one: 20 g KCl in 100 g water.