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The ratio of the molar specific heats of...

The ratio of the molar specific heats of a gas is 1.41, if the molar specific heat of the gas at constant volume is 4.846 kcal/kmol-K universal gas constant has the value

A

2.0 kcal/kmol-K

B

1.98 kcal/kmol-K

C

8.31 kcal/kmol-K

D

Can't be found

Text Solution

Verified by Experts

The correct Answer is:
B

As, `C_(p)-C_(V)=R`
but `gamma=(C_(p))/(C_(V))=1.41`
`thereforeC_(p)=1.41C_(V)`
`implies1.41C_(V)-C_(V)=R` or `R=0.41xxC_(V)=0.41xx4.846`
=1.987 kcal/kmol K
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