Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?
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a
P1-γTγ= constant
b
PVγ= constant
c
TVγ-1= constant
d
PγT1-γ= constant
answer is D.
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Detailed Solution
For an adiabatic process, PVγ= constant ......(i) According to ideal gas equation PV=nRT⇒P=nRTV Putting (i), we get nRTVVγ= constant ∴ TVγ-1= constant Again from the ideal gas equation Putting (i), we get PnRTPγ= constant P1-γTγ= constant