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Question

A graph of pressure versus volume for an ideal gas for isochoric, isobaric, isothermal and adiabatic processes is given. Which one is for the adiabatic process?

A
OA
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B
OB
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C
OC
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D
OD
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Solution

The correct option is C OC

OA is an isobaric process.
OD is an isochoric process.

For,
isobaric PV= const
Adiabatic PVγ=const

dPdV is the slope

dPdV=PV(i) for isothermal process.

For adiabatic process
PVγ= const

P.γVγ1dV+VγdP=0
PγVγV1dV=VγdP
dPdV=γPV(ii)

From (i) and (ii) we can say OC is an adiabatic process.


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