Assertion : The isothermal curves intersect e | vedclass

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(D) For an isothermal process,the equation of state is $PV = RT$. Differentiating with respect to $V$,we get $P + V \frac{dP}{dV} = 0$,which implies t

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If the Assertion is incorrect but the Reason is correct.

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(D) For an isothermal process,the equation of state is $PV = RT$. Differentiating with respect to $V$,we get $P + V \frac{dP}{dV} = 0$,which implies the slope $\frac{dP}{dV} = -\frac{P}{V}$. If two isothermal curves were to intersect at a point,they would have two different slopes at the same $(P, V)$ coordinate,which is mathematically impossible for a single-valued function. Thus,the Assertion is incorrect. The Reason states that isothermal changes occur slowly,which is true,but the slope of an isothermal curve is $-\frac{P}{V}$,not necessarily 'very little'. Therefore,the Reason is also incorrect as it does not justify the behavior of intersection. Correct option is $D$.

Assertion : The isothermal curves intersect each other at a certain point.
Reason : The isothermal change takes place slowly,so,the isothermal curves have very little slope.

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Assertion : The isothermal curves intersect each other at a certain point.Reason : The isothermal change takes place slowly,so,the isothermal curves have very little slope.