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State Raoult’s law for solutions containing volatile solutes. - Chemistry (Theory)

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State Raoult’s law for solutions containing volatile solutes.

State and explain Raoult’s law for solutions containing volatile liquids.

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Solution

For a solution of volatile liquids, the partial vapour pressure of each component in the solution is directly proportional to its mole fraction.

If pi is the partial vapour pressure of ith component in a solution and χi is its mole fraction in the solution, then according to Raoult’s law,

pi ∝ χi

or pi = constant × χi    ...(i)

If we consider the component in its pure state, then 

`p_i = p_i^circ` and

χi = 1

Where Pi is the vapour pressure of the ith component in the pure state. In the case of the pure ith component, we shall have a 100% pure component, and χi will be equal to 1. Substituting the values in Eq. (i), we have

pi = constant × 1

or constant = `p_i^circ`

Again putting the value of the constant in Eq. (i), we have

`p_i = p_i^circ* chi_i`

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