Q.

Logarithms of readings of pressure and volume for an ideal gas were plotted on a graph as shown in the given figure. By measuring the gradient, it can be shown that the gas may be

Moderate

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monatomic and undergoing an adiabatic change

monatomic and undergoing an isothermal change

diatomic and undergoing an adiabatic change

triatomic and undergoing an isothermal change

answer is 3.

(Detailed Solution Below)

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Detailed Solution

log P=m log V+C1, where C1 is positive, m is slopem=2.38−2.101.1−1.3=−1.4log⁡P=−1.4log⁡V+C1log PV1.4=C1PV1.4=kThus, it represents an ideal diatomic gas undergoing adiabatic change.

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