Question
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,
For adiabatic process,
Thus,
Therefore, no heat is absorbed or released during the process.
Thus the process is an adiabatic process.
Here,

For adiabatic process,
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Thus,
