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?
- (III)(iv)(R)
- (IV)(ii)(R)
- (I)(ii)(Q)
- (I)(iv)(Q)
I: Work done by adiabatic process:
W1−2=(P2V2−P1V1γ−1)
II: Work done by isobaric process: W1−2=−PV2+PV1=PΔV
III : Work done by isochoric Process :
W1−2=0. As the volume is constant throughout the process.
IV: Work done by isothermal : W1−2=−nRT lnV2V1
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) |
(i) Isothermal |
 |
|
(II) W1→2=−PV2+PV1 |
(ii) Isochoric |
 |
|
(III) W1→2=0 |
(iii) Isobaric |
 |
|
(IV) W1→2=−nRTln(V2V1) |
(iv) Adiabatic |
 |
Which of the following options correctly represents the thermodynamics process that is used as a correction in the determination of the speed of sound ?
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) |
(i) Isothermal |
|
|
(II) W1→2=−PV2+PV1 |
(ii) Isochoric |
|
|
(III) W1→2=0 |
(iii) Isobaric |
|
|
(IV) W1→2=−nRTln(V2V1) |
(iv) Adiabatic |
|
Which of the following options correctly represents the thermodynamics process that is used as a correction in the determination of the speed of sound ?
