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+1 vote
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in Physics by (29.4k points)
closed ago by

A diatomic gas (\(\gamma\) = 1.4) does 100 J of work in an isobaric expansion. The heat given to the gas is : 

(1) 350 J 

(2) 490 J 

(3) 150 J 

(4) 250 J 

1 Answer

+1 vote
by (27.2k points)
selected ago by
 
Best answer

Correct option is :  (1) 350 J 

For Isobaric process

\(\mathrm{w}=\mathrm{P} \Delta \mathrm{v}=\mathrm{nR} \Delta \mathrm{T}=100 \mathrm{~J}\)

\(\mathrm{Q}=\Delta \mathrm{u}+\mathrm{W}\)

\(\Delta \mathrm{Q}=\frac{\mathrm{F}}{2} \mathrm{nR} \Delta \mathrm{T}+\mathrm{nR} \Delta \mathrm{T}\)

\(\left(\frac{\mathrm{f}}{2}+1\right) \mathrm{nR} \Delta \mathrm{T}\)

\(\left(\frac{5}{2}+1\right) 100=350 \mathrm{~J}\)    

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