Answer Q.16, Q.17 and Q.18 by appropriately matching the information given in the three columns of the following table.
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 1 to state 2. W denotes the corresponding work done on the system. The equations 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 — (I) W₁→₂ = (P₂V₂ − P₁V₁)/(γ − 1); (II) W₁→₂ = −PV₂ + PV₁; (III) W₁→₂ = 0; (IV) W₁→₂ = −nRT ln(V₂/V₁)
Column 2 — (i) Isothermal; (ii) Isochoric; (iii) Isobaric; (iv) Adiabatic
Column 3 — (P) P−V diagram; (Q) P−V diagram; (R) P−V diagram; (S) P−V diagram
Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in an ideal gas?