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Q.

The variation of pressure P with volume V for an ideal monoatomic gas during an adiabatic process is shown in figure. At point A the magnitude of rate of change of pressure with volume is

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a

$\frac{5}{2} \frac{P_{o}}{V_{o}}$

b

$\frac{3}{2} \frac{P_{o}}{V_{o}}$

c

$\frac{3}{5} \frac{P_{o}}{V_{o}}$

d

$\frac{5}{3} \frac{P_{o}}{V_{o}}$

answer is D.

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Detailed Solution

Slope of adiabatic graph is -

$- γ \frac{P}{V} = - \frac{5}{3} \frac{3 P_{0}}{2 V_{0}} = - \frac{5}{2} \frac{P_{0}}{V_{0}}$

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