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JEE Main 20209 JanuaryEvening Shift
Exam
JEE Main
Year
2020
Date
9 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2020 · 9 January · Evening Shift · Chemistry · Solutions

A cylinder containing an ideal gas ( 0.1mol of 1.0d m ^ 3 ) is in...

A cylinder containing an ideal gas ( 0.1mol0.1mol of 1.0dm31.0d{m}^{3} ) is in thermal equilibrium with a large volume of 0.50.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers S1{S}_{1} and S2{S}_{2} (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be _____________.
(Given, Kf(water)=2.0Kkgmol−1,\leftR=0.08dm3atmK−1mol−1){K}_{f}\left(water\right) = 2.0Kkgmo{l}^{- 1}, \leftR = 0.08d{m}^{3}atm{K}^{- 1}mo{l}^{- 1})

A cylinder containing an ideal gas ( 0.1mol of 1.0d m ^ 3 ) is in thermal equilibrium with a large volume of 0.5 molal

Correct answer

0

Step-by-step solution

A cylinder containing an ideal gas ( 0.1mol of 1.0d m ^ 3 ) is in thermal equilibrium with a large volume of 0.5 molal
k,=2.0k, = 2.0
m=0.5mm = 0.5m
∆Tr=km∆ {T}_{r} = km
Tintial=272K{T}_{intial} = 272K
n=0.1moln = 0.1mol
V=1dm3V = 1d{m}^{3}
Pgas=nRTV=0.1×0.08×2721{P}_{gas} = \dfrac{nRT}{V} = \dfrac{0.1 \times 0.08 \times 272}{1}
After releasing piston P1V1=P2V2{P}_{1}{V}_{1} = {P}_{2}{V}_{2}
2.176×1=1×V22.176 \times 1 = 1 \times {V}_{2}
V3=2.176dm3{V}_{3} = 2.176d{m}^{3}
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