The volume V of a given mass of monatomic gas changes with temperature T according to the relation V= KT^ 23. The work done when temperature changes by 90K will be xR. The value of X is______ [ R=uni…

Question

The volume V of a given mass of monatomic gas changes with temperature T according to the relation V= KT^ 23. The work done when temperature changes by 90K will be xR. The value of X is______ [ R=universal gas constant]

Accepted Answer

Correct answer: 60. 60 JEE Main 2021 Given: V=kT^2/3 V^3/2= (k )^3/2T TV^-3/2= const. . . . (1 ) and TV^ -1= … (2 ) From (1 ) \& (2 ) - 32= -1 =- 12 Work done (w )= nR T -1 W= 1 R 90- 12-1 |W |=60 Rx=60

$The volume V of a given mass of monatomic gas changes with temperature T according to the relation V = KT^{\frac{2}{3}} . The work done when temperature changes by 90 K will be xR . The value of X is______ [R = universal gas constant]$

Solution

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