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

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lo g P = m lo g V + C 1 ​ , where C 1 ​ is positive, m is slope ​ m = 1.1 − 1.3 2.38 − 2.10 ​ = − 1.4 ​ lo g P = − 1.4 lo g V + C 1 ​ ​ lo g P V 1.4 = C 1 ​ ​ P V 1.4 = k ​ Thus, it represents an ideal diatomic gas undergoing adiabatic change.

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