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The variation of pressure $P$ with volume $V$ for an ideal monatomic gas during an adiabatic process is shown in figure. At point $A$ the magnitude of rate of change of pressure with volume is
An ideal gas undergoes a circular cycle centred at $4 \,atm , 4 L$ as shown in the diagram. The maximum temperature attained in this process is close to
A monoatomic gas of $n-$moles is heated from temperature $T_1$ to $T_2$ under two different conditions $(i)$ at constant volume and $(ii)$ at constant pressure. The change in internal energy of the gas is
A household refrigerator with a coefficient of performance $1.2$ removes heat from the refrigerated space at the rate of $60\ kJ/min$ .What would be cost of running this fridge for one month $\mathrm{Rs.}$ ..................... $(30\ days)$ (assuming each day it is used for $4$ hours and cost of one electrical unit is $6$ Rs.)
Graphs below show the entropy versus energy $U$ of two systems $1$ and $2$ at constant volume. The initial energies of the systems are indicated by $U_{1, i}$ and $U_{2, i}$, respectively. Graphs are drawn to the same scale. The systems are then brought into thermal contact with each other. Assume that, at all times the combined energy of the two systems remains constant. Choose the most appropriate option indicating the energies of the two systems and the total entropy after they achieve the equilibrium.