Consider a saturated gas(A.-vapour(B. mixture , if the absolute molal humidity is 0.265 and the total pressure= 760 mmHg. Find the vapour pressure of B.a)149.21 mmHgb)159.21 mmHgc)169.21 mmHgd)600.8 mmHgCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Molal Humidity:
Molal humidity is a measure of the amount of water vapor present in a mixture, expressed as the number of moles of water vapor per kilogram of dry air. It is given as 0.265 in this case.

Saturated Gas:
A saturated gas is a gas-vapor mixture in which the gas is at its maximum possible concentration for a given temperature and pressure. In other words, the gas is holding the maximum amount of vapor it can without condensing.

Vapour Pressure:
Vapor pressure is the pressure exerted by the vapor phase of a substance when it is in equilibrium with the liquid or solid phase at a given temperature. It is a measure of the tendency of the substance to evaporate.

Total Pressure:
Total pressure is the sum of the partial pressures of the individual components in a mixture. In this case, the total pressure is given as 760 mmHg.

Calculating the Vapour Pressure:
To calculate the vapor pressure of the saturated gas, we need to know the partial pressure of the vapor component in the gas mixture.

Using Dalton's Law of Partial Pressures:
According to Dalton's law of partial pressures, the total pressure of a gas mixture is equal to the sum of the partial pressures of its individual components.

Partial Pressure of the Vapor Component:
Let's assume the vapor pressure of the component B is 'x' mmHg.

According to Dalton's law, the total pressure is the sum of the partial pressures of the vapor component and the gas component:

x + (760 - x) = 760

Simplifying the equation:

760 - x = 760 - x

x = x

This equation shows that the vapor pressure of the component B can be any value between 0 and 760 mmHg. Therefore, none of the given options (a), (b), or (c) are correct.

The correct answer is option (d) 600.8 mmHg, as it falls within the range of possible values for the vapor pressure of the component B in a saturated gas mixture.

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