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JEE Main 202227 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Evening Shift
Subject
Chemistry
Chapter
States of Matter

JEE Main 2022 · 27 July · Evening Shift · Chemistry · States of Matter

for a real gas at 25 ° C temperature and high pressure ( 99 bar)...

for a real gas at 25°C25 ° C temperature and high pressure (9999 bar) the value of compressibility factor is 22, so the value of Van 1der Waal's constant 'bb' should be_____×10−2Lmol−1\times {10}^{- 2}L{mol}^{- 1} (Given R=0.083LR = 0 . 083L bar K−1mol−1{K}^{- 1}{mol}^{- 1})

Correct answer

0

Step-by-step solution

For real gas under high pressure we can neglect pressure corrections due to intermolecular forces. But since volume will be low, we can not neglect volume corrections due to molecular size.

Z=1+PbRT=2⇒b=RTPZ = 1 + \dfrac{Pb}{RT} = 2 ⇒ b = \dfrac{RT}{P}

=0.083×29899= \dfrac{0 . 083 \times 298}{99}

=0.25×10−2Lmol−1= 0 . 25 \times {10}^{- 2}L{mol}^{- 1}

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