Vapour Pressure of Solutions of Solids in Liquids — Prelims Questions

The vapour pressure of pure benzene at a certain temperature is $0.850\,\text{bar}$. A non-volatile, non-electrolyte solid weighing $0.5\,\text{g}$ when added to $39\,\text{g}$ of benzene (molar mass $78\,\text{g/mol}$) gives a solution whose vapour pressure is $0.845\,\text{bar}$. What is the molar mass of the solid substance?

At $300\,\text{K}$, the vapour pressure of pure water is $30\,\text{mmHg}$. If $18\,\text{g}$ of glucose (molar mass $180\,\text{g/mol}$) is added to $178.2\,\text{g}$ of water (molar mass $18\,\text{g/mol}$), what will be the vapour pressure of the solution?

Which of the following statements is INCORRECT regarding the vapour pressure of a solution containing a non-volatile solute?

The vapour pressure of a dilute aqueous solution of glucose is $750\,\text{mmHg}$ at $373\,\text{K}$. Calculate the mole fraction of glucose in the solution.

A solution is prepared by dissolving $1.0\,\text{mol}$ of a non-volatile solute in $4.0\,\text{mol}$ of a volatile solvent. If the vapour pressure of the pure solvent is $100\,\text{mmHg}$, what is the vapour pressure of the solution?

If $P_A^0$ is the vapour pressure of a pure solvent and $P_A$ is the vapour pressure of its solution containing a non-volatile solute, which of the following expressions represents the relative lowering of vapour pressure?