Final answer:
The volume of a saturated solution of X at 0°C that would yield 10.0 g of the dry salt is 0.0625 dm³.
Step-by-step explanation:
To find the volume of a saturated solution of X at 0°C that would yield 10.0 g of the dry salt, we need to use the solubility of Y at 0°C. The solubility of Y is given as 5.0 mol/dm³. We can use the equation:
volume of solution = mass of dry salt / solubility
Plugging in the values, we get:
volume = 10.0 g / (5.0 mol/dm³)
Converting grams to moles:
volume = 10.0 g / (160 g/mol)
volume = 0.0625 mol / (5.0 mol/dm³)
volume = 0.0625 dm³ = 0.0625 dm³