Question:

The vapour pressure of two liquids P and Q are 80 and 60 torr, respectively. The total vapour pressure of solution obtained by mixing 3 moles of P and 2 moles of Q would be:

Updated On: Oct 10, 2023
  • 144 torr
  • 288 torr
  • 14 torr
  • 72 torr
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The Correct Option is D

Solution and Explanation

The following is the formula for determining a solution's vapour pressure:
PT = PP0P +PQ0Q 
Where PT is the solution's vapour pressure
PP = Liquid 'P' at its purest condition vapour pressure
PQ is equal to the liquid 'Q's pure vapour pressure.
P is the solution's mole fraction of liquid P.
Q equals the mole fraction of liquid Q in the mixture.
In response to this query, PP = 80 PQ = 60 moles of P = 3 and Q = 2 in the solution, 
thus the total number of moles is 5 P = 0.6 Q = 0.4. PT = 80 x 0.6+ 60 x 0.4 = 72. 

Therefore, the correct option is (D): 72 torr

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Concepts Used:

Solutions

A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.

For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.

Types of Solutions:

The solutions can be classified into three types:

  • Solid Solutions - In these solutions, the solvent is in a Solid-state.
  • Liquid Solutions- In these solutions, the solvent is in a Liquid state.
  • Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.

On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:

  1. Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
  2. Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
  3. Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.