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Q.

The total kinetic energy of translatory motion of all the molecules of 5 litres of  nitrogen exerting a pressure P is 3000 J.

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a

The total k.E. of 10 litres of  N2 at a pressure of 2P is 3000J

b

The total k.E. of 10 litres of  He at a pressure of 2P is 3000J

c

The total k.E. of 10 litres of  O2 at a pressure of 2P is 20000J

d

The total k.E. of 10 litres of  Ne at a pressure of 2P is 15000 J

answer is C.

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Detailed Solution

K.E of translation of any gas =  32nRT=32PVGiven,  3000=32PV⇒PV=2000     (1)Total KE of a gas =  f2nRT=f2PVf = 5 (for N2 and O2 )  f = 3 (for He and Ne).Hence, for O2  and  N2 ,   E=522P2V=10PV=102000=20000JAnd for He and Ne,   E=322P2V=6PV=62000=12000J.
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The total kinetic energy of translatory motion of all the molecules of 5 litres of  nitrogen exerting a pressure P is 3000 J.