Q. 105.0( 1 Vote )

Two samples A and B are initially kept in the same state. Sample A is expanded through an adiabatic process and sample B through an isothermal process. The final volumes of the samples are the same. The final pressures in A and B are pA and PB respectively.
A. PA > PB

B. PA = PB

C. PA < PB

D. The relation between pA and PB cannot be deduced.

Answer :

Adiabatic process is represented by : PV𝛾 = constant,


where P = pressure


V = volume


= ratio of specific heat capacities at constant pressure and constant volume


Therefore, we get PA = constant/V. .. (i)


Isothermal process is given by : PV = constant


Hence, we get PB = constant/V … (ii)


Since > 1, we get pA < pB. (proved)

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