Q.

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

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a

10 R

b

20 R

c

30 R

d

40 R

answer is A.

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Detailed Solution

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