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Mechanical Properties Of Fluids

Question
CBSEENPH11019696

An ideal gas undergoes a process so that PVn = constant. If the molar heat capacity of the gas in the process is zero, then find the value of n.

Solution
Molar heat capacity of the process is zero.
Therefore, no heat is absorbed or released during the process.
Thus the process is an adiabatic process. 
Here,      PV to the power of straight n space equals space constant 
For adiabatic process,
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Thus,            straight n equals straight gamma.