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) $10^{-3}\,\text{kg}$ of water at $100^\circ\text{C}$ is converted to steam at the same temperature, at a pressure of $10^{5}\,\text{Pa}$. The volume of the system changes from $10^{-6}\,\text{m}^{3}$ to $10^{-3}\,\text{m}^{3}$ in the process. Latent heat of water $= 2250\,\text{kJ/kg}$. | (P) $2\,\text{kJ}$ | | (II) $0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500\,\text{K}$ undergoes an isobaric expansion to volume $3V$. Assume $R = 8.0\,\text{J}\,\text{mol}^{-1}\,\text{K}^{-1}$. | (Q) $7\,\text{kJ}$ | | (III) One mole of a monatomic ideal gas is compressed adiabatically from volume $V = \frac{1}{3}\,\text{m}^{3}$ and pressure $2\,\text{kPa}$ to volume $\frac{V}{8}$. | (R) $4\,\text{kJ}$ | | (IV) Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9\,\text{kJ}$ of heat and undergoes isobaric expansion. | (S) $5\,\text{kJ}$ | | | (T) $3\,\text{kJ}$ | Which one of the following options is correct?

1. A (I) $\to$ (T); (II) $\to$ (R); (III) $\to$ (S); (IV) $\to$ (Q)
2. B (I) $\to$ (S); (II) $\to$ (P); (III) $\to$ (T); (IV) $\to$ (P)
3. C (I) $\to$ (P); (II) $\to$ (R); (III) $\to$ (T); (IV) $\to$ (Q)
4. D (I) $\to$ (Q); (II) $\to$ (R); (III) $\to$ (S); (IV) $\to$ (T)

Show the answer

Answer: C. (I) $\to$ (P); (II) $\to$ (R); (III) $\to$ (T); (IV) $\to$ (Q)

Thermodynamics 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) $10^{-3}\,\text{kg}$ of water at $100^\circ\text{C}$ is converted to steam at the same temperature, at a pressure of $10^{5}\,\text{Pa}$. The volume of the system changes from $10^{-6}\,\text{m}^{3}$ to $10^{-3}\,\text{m}^{3}$ in the process. Latent heat of water $= 2250\,\text{kJ/kg}$. | (P) $2\,\text{kJ}$ | | (II) $0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500\,\text{K}$ undergoes an isobaric expansion to volume $3V$. Assume $R = 8.0\,\text{J}\,\text{mol}^{-1}\,\text{K}^{-1}$. | (Q) $7\,\text{kJ}$ | | (III) One mole of a monatomic ideal gas is compressed adiabatically from volume $V = \frac{1}{3}\,\text{m}^{3}$ and pressure $2\,\text{kPa}$ to volume $\frac{V}{8}$. | (R) $4\,\text{kJ}$ | | (IV) Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9\,\text{kJ}$ of heat and undergoes isobaric expansion. | (S) $5\,\text{kJ}$ | | | (T) $3\,\text{kJ}$ | Which one of the following options is correct? Watch this solved on the board The full walkthrough, written out a line at a time with narration explaining each step as it appears. Pause anywhere and ask why a line is there. Free to watch

Or read the worked solution below. Jump to the steps ↓