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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

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Best answer

(4) 700 J

\(Q = P\delta V +_nC_v \Delta T\)

\(=P\Delta V + n \frac {R}{(\gamma -1)}\Delta T\)

\(= P\Delta V + \frac {P\Delta V}{\gamma -1}\)

\(= P\Delta V \left(1 + \frac {1}{\gamma - 1}\right)\)

\(=200 \left(1 + \frac {1}{0.4}\right)\)

= 200 x 3.5

= 700 J

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