Question

An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding $ 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?

• A. (I) (ii) (Q)
• B. (IV) (ii) (R)
• C. (III) (iv) (R)
• D. (I) (iv) (Q)

Answer 1

Answer: (A)

(I) (ii) (Q)

Answer 2

The statement of the question is making reference to adiabatic process. Now, in adiabatic process, work done by the gas, $W _{ gas }=-\frac{\Delta( PV )}{\gamma-1}$ $\therefore$ Work done on the gas $=+\frac{\Delta( PV )}{\gamma-1}=\frac{ P _{2} V _{2}- P _{1} V _{1}}{\gamma-1}$ Also, note that $P - V$ graph for the process $1-2$ is steeper (adiabatic) in $Q$ (not in $R$ ).