An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding P−V diagrams in column 3 of the table. Consider only the path from state I to state 2. W denotes the corresponding work done on the system. The equation and plots in the table have standard notations as used in thermodynamic processes. Here γ is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is n.
Column 1 |
Column 2 |
Column 3 |
(I) W1→2=1γ−1(P2V2−P1V1)
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(i) Isothermal
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(II) W1→2=−PV2+PV1
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(ii) Isochoric
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(III) W1→2=0
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(iii) Isobaric
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(IV) W1→2=−nRTln(V2V1)
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(iv) Adiabatic
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Which of the following options correctly represents the thermodynamics process that is used as a correction in the determination of the speed of sound ?