An insulating cylinder contains 4 moles of an ideal diatomic gas. When a heat Q is supplied, to it, 2 moles of the gas molecules dissociate. If the temperature of the gas remains constant, then the v…

Question

An insulating cylinder contains 4 moles of an ideal diatomic gas. When a heat Q is supplied, to it, 2 moles of the gas molecules dissociate. If the temperature of the gas remains constant, then the value of Q is ( R - universal gas constant)

Accepted Answer

Correct answer: B. (b) Heat supplied " Q " is given by: Q=U_f-U_iU_i= Initial Internal EnergyU_f= Final Internal Energy Initially cylinder contains 4 moles of diatomic gas, U_i=n ( f2 RT ) U_i=4 ( 52 RT )=10 RT 2 moles of diatomic gas dissociate into monoatomic gas. Hence there are 4 moles of monoatomic gas and 2 moles of diatomic gas. Final Internal Energy is given by: U_f=n ( f2 RT )+n^ ' ( f^ '2 RT )=4 ( 32 RT )+2 ( 52 RT ) =11 RT Thus Heat supplied is, Q=U_f-U_i=11 RT-10 RT= RTQ= RT .

$An insulating cylinder contains 4 moles of an ideal diatomic gas. When a heat Q is supplied, to it, 2 moles of the gas molecules dissociate. If the temperature of the gas remains constant, then the value of Q is (R - universal gas constant)$

Solution

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