Answer:
The pressure of the solution is 144 torr
Explanation:
Step 1: Data given
Number of moles of a nonvolatile solute = 0.5 moles
Mass of ethanol = 300 grams
Molar mass of ethanol = 46.07 g/mol
Temperature = 40°C
The vapor pressure of ethanol = 134 torr
Step 2: Calculate moles ethanol
Moles ethanol = mass ethanol / molar mass ethanol
Moles ethanol = 300 grams / 46.07 g/mol
Moles ethanol = 6.51 moles
Step 3: Calculate the total moles
Total moles = 0.5 moles + 6.51 moles
Total moles = 7.01 moles
Step 4: Calculate mol fraction
Mol fraction = moles / total moles
Mol fraction ethanol = 6.51 / 7.01 moles
Mol fraction ethanol = 0.93
Mol fraction nonvolatile solute
0.5 moles / 7.01 moles = 0.07
Step 5: Calculate Total pressure of the solution
Vapor pressure ethanol = mol fraction * total pressure solution
134 torr = 0.93 * total pressure solution
Total pressure solution = 134 torr/ 0.93
Total pressure solution = 144 torr
The pressure of the solution is 144 torr
