1.

The given figure shows the P-V diagram for a Camot cycle. In this diagram,

Answer»

curve AB represents isothermal PROCESS and BC adiabatic process
curve AB represents adiabatic process and BC isothermal process
curve CD represents isothermal process and DA adiabatic process
curve CD represents adiabatic process and DA isothermal process.

Solution :Foran adiabatic process, `PV^(gamma) ` = constant.
Differentiating w.r.t. V , we GET
`(dP)/(dV) V^(gamma) + PgammaV^(gamma-1) = 0" or " (dP)/(dV) = - (gammaP)/V`
For isothermal process, PV = constant
Hence, `(dP)/(dV) = - P/V`
Now dP/dV is the slope of the(P - V) GRAPH. Thus, the slope of the (P-V ) graph for an adiabatic process is `gamma`times that for an isothermal process. Hence, curves BC and DA both represent adiabatic process and curves AB and CD both represent isothermal process.


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