Answer:
CH2Cl2 mole fraction = 0.833
CH2Br2 mole fraction = 0.167
Explanation:
Step 1: Data given
Number of moles CH2Cl2 = 0.0300 moles
Number of moles CH2Br2 = 0.0500 moles
Temperature = 25 °C
Vapor pressure of pure CH2Cl2 = 133 torr
Vapor pressure of pure CH2Br2 = 11.4 torr
Step 2: Calculate mol fraction in solution
Mol fraction CH2Cl2 = 0.0300 moles / (0.0300 + 0.0700)
Mol fraction CH2Cl2 = 0.300
Mol fraction CH2Br2 = 0.0700 moles / (0.0300 + 0.0700)
Mol fraction CH2Br2 = 0.700
Step 3: Calculate partial pressure
Partial pressure CH2Cl2 = 133 torr * 0.300 = 39.9 torr
Partial pressure CH2Br = 11.4 torr * 0.700 =7.98 torr
Step 4: Calculate the total pressure
total pressure = 39.9 + 7.98 = 47.88 torr
Step 5: Calculate mol fraction
partial pressure / total pressure = mole fraction
CH2Cl2 mole fraction = 39.9 / 47.88 = 0.833
CH2Br2 mole fraction = 7.98 / 47.88 = 0.167
