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Thermodynamics

Question
CBSEENPH11026325

A diatomic gas (γ = 1.4) does 200 J of work when it is expanded isobarically. Find the heat given to the gas in the process

  • 500 J

  • 700 J

  • 600 J

  • 900 J

Solution

B.

700 J

   For a diatomic gas

  CV52 R    and  CP72 R

The work done in an isobaric process is

    W = P ( V2 - V1 )

          = n R ( T2 - T1 )

⇒  T2 - TWnR

The heat given in an isobaric process is

      Q = n CP (T2 - T1 )

      n CP WnR = 72 W  

⇒                 = 72 × 200 J

⇒     n CPWnR  = 700 J