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JEE Main 202227 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Evening Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2022 · 27 June · Evening Shift · Physics · Thermodynamics

A diatomic gas (γ = 1 . 4) does 400J of work when it is expanded...

A diatomic gas (γ=1.4)\left(\gamma = 1 . 4\right) does 400J400J of work when it is expanded isobarically. The heat given to the gas in the process is _____ JJ.

Correct answer

0

Step-by-step solution

For isobaric process: W=nR\DeltaTW = nR\DeltaT⇒400=nR\DeltaT⇒ 400 = nR\DeltaT

Also: Q=nCp\DeltaTQ = n{C}_{p}\DeltaT

⇒Q=n(7R2)\DeltaT⇒ Q = n\left(\dfrac{7R}{2}\right)\DeltaT (Cp=7R2{C}_{p} = \dfrac{7R}{2}, for diatomic gas)

Q=72×400=1400JQ = \dfrac{7}{2} \times 400 = 1400J

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