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JEE Main 201910 AprilMorning Shift

Exam: JEE Main
Year: 2019
Date: 10 April
Shift: Morning Shift
Subject: Physics
Chapter: Thermodynamics

JEE Main 2019 · 10 April · Morning Shift · Physics · Thermodynamics

A cylinder with fixed capacity of 67.2 litre contains helium gas at...

A cylinder with fixed capacity of

67.2

litre contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by

20 ° C

is:
[Given that

R = 8.31Jmo{l}^{- 1}{K}^{- 1} ]

Options

A $748J$
B $700J$
C $350J$
D $374J$

Correct answer

A. $748J$

Step-by-step solution

The amount of heat supplied is

Q = n{C}_{V}\DeltaT

= \left(\dfrac{67.2}{22.4}\right)\left(\dfrac{3R}{2}\right)20

= 3 \times \dfrac{3}{2} \times 8.314 \times 20

= 748J

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