A diatomic gas ( γ = 1 . 4 ) does 200 J of work when it is expanded isobarically. The heat given to the gas…

A diatomic gas (γ=1.4) does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is :
  1. 850 J
  2. 800 J
  3. 600 J
  4. 700 J

Solution

For degree of freedom, we can write

γ=1+2f=1.4⇒2f=0.4

⇒f=5

For isobaric process, W=nRΔT=200 J.

Now, we can write

Q=f+22nRΔT

=72×200=700 J

Asked in: JEE Main 2024 (01 Feb Shift 2)

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