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Q.

The volume V of a given mass of monoatomic gas changes with temperature T according to the relation V=KT23 . The work done when temperature changes by 90 K will be xR. The value of x is _________ [R =universal gas constant]

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answer is 60.

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Detailed Solution

PV=nRT⇒T=PVnR−−−(1) Given : V=KT23⇒V=KPVnR23 From equation (1)⇒P23V−13= constant ⇒PV−12= constant  Comparing with polytropic process, PVx= constant x=−12 Now, work =W=R△T1−x=R901−−12=R×903/2=60R
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