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Thermodynamic Processes

Molar mass of...

Question

Molar mass of solute in g mol $^{- 1}$ is $(50 + x)$ the value of $x$ will be_________ (nearest integer).

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Solution

The molar mass of isopentane is 72 g/mol. The expression for the relative lowering of vapor pressure is :
$\frac{P^{0} - P}{P^{0}} = \frac{W_{2} M_{1}}{W_{1} M_{2}}$
Substitute values in the above expression.
$\frac{P^{0} - 1445}{P^{0}} = \frac{6 \times 72.15}{114 \times M_{2}}$ ......(1)
$\frac{P^{0} - 1426}{P^{0}} = \frac{6 \times 72.15}{94 \times M_{2}}$ ......(2)
Solving these two equations, we get $M_{2} = 56.65 \approx 57 g / m o l$

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