Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8

Q.

Water and chlorobenzene are immiscible liquids. Their mixture boils at 89oC under a reduced pressure of 7.7 x 104 Pa. The vapour pressure of pure water at 89oC is 
7 x 104 pa. Weight per cent of chlorobenzene in the distillate is :

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

60

b

78.3

c

50

d

38.46

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Given:

  • Boiling point of the mixture: 89°C
  • Total pressure (boiling point pressure of the mixture): Ptotal = 7.7 × 104 Pa
  • Vapor pressure of pure water at 89°C:Pwater = 7 × 104 Pa
  • Vapor pressure of chlorobenzene: To be calculated

We know that the total vapor pressure of the mixture is the sum of the individual vapor pressures:

Ptotal = Pwater + Pchlorobenzene

Substituting the given values:

7.7 × 104 = 7 × 104 + Pchlorobenzene

Therefore:

Pchlorobenzene = 7.7 × 104 - 7 × 104 = 0.7 × 104 Pa

From Raoult's Law, we know that:

χchlorobenzene = Pchlorobenzene / Ptotal

Substituting the values:

χchlorobenzene = (0.7 × 104) / (7.7 × 104) = 0.0909

Using the formula for weight percent:

Weight percent of chlorobenzene = (χchlorobenzene × Mchlorobenzene) / [(χchlorobenzene × Mchlorobenzene) + (χwater × Mwater)] × 100

Where:

  • Mchlorobenzene: Molar mass of chlorobenzene = 112 g/mol
  • Mwater: Molar mass of water = 18 g/mol
  • χwater: Mole fraction of water = 1 - 0.0909 = 0.9091

Substituting the values:

Weight percent of chlorobenzene = (0.0909 × 112) / [(0.0909 × 112) + (0.9091 × 18)] × 100Weight percent of chlorobenzene = 38.46%

Final Answer: Option (d) 38.46%

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon