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Questions  

A gas expands with temperature according to the relation V=KT1/3.  What is the work done when the temperature changes by  30oC

a
10 R
b
20 R
c
30 R
d
40 R

detailed solution

Correct option is A

V=KT1/3⇒   dV=13   KT−23  dT⇒   =13  VT1/3 T−23  dT⇒  dV =13  V.  T−1  dT⇒  dVV =13   dTT     ⇒   W=∫T2T1  RTT  dT=13   R  T2−T1⇒   W=13  ×  R  ×  30=10R

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