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Question

4 moles of hydrogen, 2 moles of helium and 1 mole of water vapour form an ideal gas mixture. What is the molar specific heat at constant pressure of mixture?

A
167R
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B
7R16
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C
R
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D
237R
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Solution

The correct option is B 237R
A monoatomic molecule has 3 degrees of freedom, a diatomic molecule has 5 degrees of freedom and a triatomic molecule has 6 degrees of freedom.
Thus the average degree of freedom is (5)(4)+(3)(2)+(6)(1)4+2+1=327
Cv=f2R=167R
Thus Cp=Cv+R=237R

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