Explanation:
The given data is as follows.
Vapour pressure of pure [tex]CCl_{4}[/tex] = 33.85 Torr
Temperature = 298 K
Mole fraction of [tex]Br_{2}[/tex] = 122.36 torr
Therefore, calculate the vapor pressure of [tex]Br_{2}[/tex] as follows.
Vapour pressure of [tex]Br_{2}[/tex] = mole fraction of [tex]Br_{2}[/tex] x K of [tex]Br_{2}[/tex]
= 0.050 x 122.36 Torr
= 6.118 Torr
So, vapor pressure of [tex]Br_{2}[/tex] is 6.118 Torr .
Now, calculate the vapor pressure of carbon tetrachloride as follows.
Vapour pressure of [tex]CCl_{4}[/tex] = mole fraction of [tex]CCl_{4}[/tex] x Pressure of [tex]CCl_{4}[/tex]
= (1 - 0.050) × 33.85 Torr
= 32.1575 Torr
So, vapor pressure of [tex]CCl_{4}[/tex] is 32.1575 Torr .
Hence, the total pressure will be as follows.
= 6.118 Torr + 32.1575 Torr
= 38.2755 Torr
Therefore, composition of [tex]CCl_{4}[/tex] = [tex]\frac{32.1575 Torr}{38.2755 Torr}[/tex]
= 0.8405
Composition of [tex]CCl_{4}[/tex] is 0.8405 .
And, composition of [tex]Br_{2}[/tex] = [tex]\frac{6.118 Torr}{38.2755 Torr}[/tex]
= 0.1598
Composition of [tex]Br_{2}[/tex] is 0.1598 .