Final answer:
Calculating the molar mass of a non-volatile solute involves using the relative lowering of vapor pressure due to the solute and the known mass of the solute to determine the number of moles, from which the molar mass can be calculated. However, additional information like the vapor pressure of water and ΔP is needed to perform these calculations.
Step-by-step explanation:
Calculating the Molar Mass of a Non-Volatile Solute
To calculate the molar mass of a non-volatile solute, one of the ways is to use the colligative property relating to the lowering of vapor pressure. The relative lowering of vapor pressure is given by Raoult's law as:
ΔP / P₀ = nₓ / ( nₓ + nₒ )
Where ΔP is the lowering of the vapor pressure, P₀ is the vapor pressure of the pure solvent, nₓ is the number of moles of the solute, and nₒ is the number of moles of the solvent.
To find the molar mass of the solute, we need to determine the number of moles of the solute. The mass of the solute is given (10 gm), and by knowing the number of moles, we can calculate the molar mass as:
Molar mass (M) = Mass of solute (g) / Number of moles of solute (mol)
In this scenario, we can calculate the number of moles of solute dissolved by using the relation of molality (which is the moles of solute per kilogram of solvent) and incorporate the provided data about the relative lowering of the vapour pressure.
The detailed process would involve deriving the number of moles from the lowering of the vapor pressure and then determining the molar mass of the solute using the formula provided above. However, we need additional information, such as the vapor pressure of the pure solvent (water) and the actual change in vapor pressure (ΔP), in order to perform these calculations.