Q.
List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process.
List I
List II
I
$10^{-3} kg$ of water at $100^{\circ} C$ is converted to steam at the same temperature, at a pressure of $10^5 Pa$. The volume of the system changes from $10^{-6} m ^3$ to $10^{-3} m ^3$ in the process. Latent heat of water $=2250 kJ / kg$.
P
2 KJ
II
$0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500 K$ undergoes an isobaric expansion to volume $3 V$. Assume $R=8.0 Jmol ^{-1} K ^{-1}$.
Q
7 KJ
III
On mole of a monatomic ideal gas is compressed adiabatically from volume $V=\frac{1}{3} m ^3$ and pressure $2 kPa$ to volume $\frac{v}{8}$
R
4 KJ
IV
Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 kJ$ of heat and undergoes isobaric expansion.
S
5 KJ
T
3 KJ
Which one of the following options is correct?
| List I | List II | ||
|---|---|---|---|
| I | $10^{-3} kg$ of water at $100^{\circ} C$ is converted to steam at the same temperature, at a pressure of $10^5 Pa$. The volume of the system changes from $10^{-6} m ^3$ to $10^{-3} m ^3$ in the process. Latent heat of water $=2250 kJ / kg$. | P | 2 KJ |
| II | $0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500 K$ undergoes an isobaric expansion to volume $3 V$. Assume $R=8.0 Jmol ^{-1} K ^{-1}$. | Q | 7 KJ |
| III | On mole of a monatomic ideal gas is compressed adiabatically from volume $V=\frac{1}{3} m ^3$ and pressure $2 kPa$ to volume $\frac{v}{8}$ | R | 4 KJ |
| IV | Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 kJ$ of heat and undergoes isobaric expansion. | S | 5 KJ |
| T | 3 KJ | ||
JEE AdvancedJEE Advanced 2022
Solution: