Question

At 283 K a saturated solution of solid X can be prepared by dissolving 21.0 g of it in 100 g of water. The maximum amount of X which can be dissolved in 100 g of water at 313 K is 62.0 g. An attempt is made to dissolve 50.0 g of X in 100g of water at 313 K. Which of the following statements are correct?

A) All the 50.0 g of X will dissolve at 313 K
B) At 313 K, 29.0 g of X will remain undissolved
C) Solubility of X decreases with the increase of temperature
D) On cooling the solution of X from 313 K to 283 K, more than 21.0 g of X will crystallize out.
a) A and B
b) A and D
c) B and C
d) A, C, and D

Answer 1

The solubility of solid X in water varies with temperature. The maximum amount of X that can be dissolved in water at 283 K is 21.0 g, while at 313 K, the maximum solubility is 62.0 g. Statement C is correct, as solubility generally decreases with increasing temperature. However, statements A, B, and D are incorrect.

Step-by-step explanation:

The given question is asking about the maximum amount of solid X that can be dissolved in water at different temperatures. From the information provided, we know that at 283 K, 21.0 g of X can be dissolved in 100 g of water to form a saturated solution. At 313 K, the maximum amount of X that can be dissolved in 100 g of water is 62.0 g.

Based on this information, we can say that statement C is correct. Solubility of X decreases as temperature increases. This trend is consistent with most solutes, as solubility generally increases with temperature.

As for the other statements:

• Statement A is incorrect. Not all of the 50.0 g of X will dissolve at 313 K, as the maximum solubility at that temperature is 62.0 g.
• Statement B is incorrect. Since not all of the 50.0 g of X will dissolve at 313 K, there will be some undissolved X remaining.
• Statement D is incorrect. On cooling the solution from 313 K to 283 K, no more than 21.0 g of X will crystallize out, as that is the maximum solubility at 283 K.

Therefore, the correct answer is option

d) A, C, and D

.