Q.

cp&cv are specific heats at constant pressure and volume respectively. It is observed that cP−cV=a for hydrogen gas cP−cV=b for nitrogen gas. The correct relation between a & b is

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a

a=14b

b

a=7b

c

b=14a

d

b=7a

answer is A.

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Detailed Solution

CP−CV=R, where CP and CV are molar specific heat capacities. given cp,cv are specific heatscp-cv=RMolecular weightmolecular weight of hydrogen =2 and nitrogen=28 As per the question, a =R2;      b=R28⇒ 2a=28ba=14b
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cp&cv are specific heats at constant pressure and volume respectively. It is observed that cP−cV=a for hydrogen gas cP−cV=b for nitrogen gas. The correct relation between a & b is