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JEE Main 202126 FebruaryEvening Shift

Exam: JEE Main
Year: 2021
Date: 26 February
Shift: Evening Shift
Subject: Physics
Chapter: Thermodynamics

JEE Main 2021 · 26 February · Evening Shift · Physics · Thermodynamics

1 mole of rigid diatomic gas performs a work of (Q)/(5) when heat Q...

1

mole of rigid diatomic gas performs a work of

\dfrac{Q}{5}

when heat

Q

is supplied to it. The molar heat capacity of the gas during this transformation is

\dfrac{xR}{8} .

The value of

x

is
[

R

universal gas constant]

Correct answer

0

Step-by-step solution

$Q = \DeltaU + W$

$Q = \DeltaU + \dfrac{Q}{5}$

$\DeltaU = \dfrac{4Q}{5}$

$n{C}_{v}\DeltaT = \dfrac{4}{5}nC\DeltaT$

$C = \dfrac{25}{8}R$

$x = 25$

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