What is the vapor pressure at 30 degrees celcuis of a solution of 9.26g of benzene(C6H6,pure liquid vapor...?

pressure is 155 torr) and 4.26g of cholroform(CHCL3, pur liquid vapor pressure is 333 torr??


A.119 torr
b.375 torr
c.76.3 torr
d.195 torr

Answer:
Treat the liquid mixture as ideal mixture and apply Raoult's law.
It states that the vapor pressure of a mixture equals the sum of pure components vapor pressure times their mole fraction:
p = ∑ x_i · p_i

The number of moles for this binary mixture are:
-benzene
N₁ = m₁ / M₁ = 9.26g / 78.11g/mol = 0.11855mol
-chloroform
N₂ = m₂ / M₂ = 4.26g / 119.38g/mol = 0.03568mol
The molar fractions are
-benzene
x₁ = N₁ / (N₁+ N₂) = 9.26g / 78.11g/mol = 0.7686
-chloroform
x₂ = N₂ / (N₁+ N₂) = 1 - x₁ = 0.2134

The total vapor pressure is
p = x₁ · p₁ + x₂ · p₂ = 0.7686 · 155torr + 0.2134 · 333torr
= 196.2 torr

d is the correct answer

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