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Question
If for hydrogen Cp−Cv=m and for nitrogen Cp−Cv=n, where Cp andCv refer to specific heats per unit mass respectively at constant pressure and constant volume. The relation between m and n is
If for hydrogen Cp−Cv=m and for nitrogen Cp−Cv=n, where Cp andCv refer to specific heats per unit mass respectively at constant pressure and constant volume. The relation between m and n is
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Solution
The correct option is B n=14m
We know that CP−CV=R (here CP and CV are the molar specific heats at constant pressure and constant volume respectively)
Thus we get the relation for the specific heats per unit mass as CP−CV=mR (here M is the molecular weight of the element involved)
Thus we get
CP−CV=2R (for H2)and CP−CV=28R (for N2)
Thus we get
n=14m
We know that CP−CV=R (here CP and CV are the molar specific heats at constant pressure and constant volume respectively)
Thus we get the relation for the specific heats per unit mass as CP−CV=mR (here M is the molecular weight of the element involved)
Thus we get
CP−CV=2R (for H2)
and CP−CV=28R (for N2)
Thus we get
n=14m
Thus we get
n=14m
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