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? [2017]

Question

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 Y is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is $n$ . [2017]

	Column 1		Column 2		Column 3
(I)	$W_{1 \to 2} = \frac{1}{γ - 1} (P_{2} V_{2} - P_{1} V_{1})$	(i)	Isothermal	(P)
(II)	$W_{1 \to 2} = - P V_{2} + P V_{1}$	(ii)	Isochoric	(Q)
(III)	$W_{1 \to 2} = 0$	(iii)	Isobaric	(R)
(IV)	$W_{1 \to 2} = - n R T \ln (\frac{V_{2}}{V_{1}})$	(iv)	Adiabatic	(S)

Q. 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?

Smart Achievers · Accepted Answer

(4)

Laplace's correction of the speed of sound in ideal gas is related to adiabatic process.

P–V curve in adiabatic process is steeper than isothermal.

Solution

1 (I)(ii)(Q)

2 (IV)(ii)(R)

3 (III)(iv)(R)

4 (I)(iv)(Q)

Ans.
(4)

Laplace's correction of the speed of sound in ideal gas is related to adiabatic process.

P–V curve in adiabatic process is steeper than isothermal.

Want Us to Email you About Special Offers & Updates?