Calculate the vapor pressure (in torr) at 298 K in a solution prepared by dissolving 46.8 g of the non-volatile non-electrolye glucose in 117 g of methanol. The vapor pressure of methanol at 298 K is 122.7 torr. Enter your answer to 2 decimal places.

The total partial pressure of the solution is 131.37 torr.

Explanation:

The number of moles is defined as the ratio of the mass of a substance to its molar mass. The equation used is:

......(1)

Given mass of glucose = 46.8 g

Molar mass of glucose = 180 g/mol

Plugging values in equation 1:

Given mass of methanol = 117 g

Molar mass of methanol = 32 g/mol

Plugging values in equation 1:

Mole fraction is defined as the moles of a component present in the total moles of a solution. It is given by the equation:

.....(2)

where n is the number of moles

Putting values in equation 2:

Raoult's law is the law used to calculate the partial pressure of the individual gases present in the mixture. The equation for Raoult's law follows:

.....(3)

where is the partial pressure of component A in the mixture and is the total partial pressure of the mixture

We are given:

Putting values in equation 3, we get:

Hence, the total partial pressure of the solution is 131.37 torr.

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