A container closed by a freely moving piston contains a mixture of hydrogen and helium gases of total mass 12 gm. A heat of 150 kJ is transferred to the gas at constant pressure and in this process gas performs 50 kJ work. Find mass of hydrogen (in gm) in the mixture.

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answer is 2.

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Detailed Solution

nCPΔT=150nRΔT=50 ⇒nCP△T=3nR△T⇒n1CP1+n2CP2=3n1+n2R⇒n15R2+n27R2=(3)n1+n2R⇒5n1+7n2=6n1+6n2⇒n1=n2Also, n1(4)+n2(2)=12n1=n2=2Mass of hydrogen = 4 gm

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