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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