Which of the curves in the given P-V diagram | vedclass

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(D) For an ideal gas,the slope of an isothermal process is given by $\left(\frac{dP}{dV}\right)_{iso} = -\frac{P}{V}$.For an adiabatic process,the slo

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$B$ and $A$

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(D) For an ideal gas,the slope of an isothermal process is given by $\left(\frac{dP}{dV}ight)_{iso} = -\frac{P}{V}$.For an adiabatic process,the slope is given by $\left(\frac{dP}{dV}ight)_{adia} = -\gamma \frac{P}{V}$,where $\gamma > 1$.Since the magnitude of the slope of the adiabatic curve is greater than that of the isothermal curve $(|	ext{slope}_{adia}| > |	ext{slope}_{iso}|)$,the steeper curve represents the adiabatic process.In the given $P-V$ diagram,for expansion (curves $A$ and $B$),curve $A$ is steeper than curve $B$. Therefore,$A$ represents the adiabatic process and $B$ represents the isothermal process.

Which of the curves in the given $P-V$ diagram represents an adiabatic process and an isothermal process,respectively?

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