Answer : The mole fraction of the non-volatile solute in the solution is 0.195
Explanation :
According to the relative lowering of vapor pressure, the vapor pressure of a component at a given temperature is equal to the mole fraction of that component of the solution multiplied by the vapor pressure of that component in the pure state.
Formula used :
[tex]\frac{\Delta p}{p^o}=X_B[/tex]
[tex]\frac{p^o-p_s}{p^o}=X_B[/tex]
where,
[tex]p^o[/tex] = vapor pressure of the pure solvent (acetone) = 266 torr
[tex]p_s[/tex] = vapor pressure of the solution = 214 torr
[tex]X_B[/tex] = mole fraction of solute = ?
Now put all the given values in the above formula, we get:
[tex]\frac{p^o-p_s}{p^o}=X_B[/tex]
[tex]\frac{266-214}{266}=X_B[/tex]
[tex]X_B=0.195[/tex]
Therefore, the mole fraction of the non-volatile solute in the solution is 0.195
The mole fraction of the non-volatile solute in the solution is 0.195
The vapor pressure is the pressure exerted by vapor in a closed system.
By the law of vapor pressure
[tex]\dfrac{\Delta P}{P\circ}=X_B\\\\\\ \dfrac{P^\circ -P_s}{P^\circ} =X_B \\\\\\\dfrac{266 - 214}{266}=X_B\\\\X_B = 0.195[/tex]
Thus, the mole fraction of non-volatile solute is 0.195.
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