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A diatomic gas with rigid molecules does $10\, J$ of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process ..... $J$.
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.
Half mole of an ideal monoatomic gas is heated at constant pressure of $1\, atm$ from $20\,^oC$ to $90\,^oC$. Work done by has is close to ..... $J$ (Gas constant $R = 8.31\, J/mol.K$)
During an adiabatic compression, $830\, J$ of work is done on $2\, moles$ of a diatomic ideal gas to reduce its volume by $50\%$. The change in its temperahture is nearly..... $K$ $(R\, = 8.3\, J\,K^{-1}\, mol^{-1} )$
The temperature of food material in refrigerator is $4^{\circ} C$ and temperature of environment is $15^{\circ} C$. If carnot cycle is used in its working gas, then find its carnot efficiency.
A bubble from bottom of lake rises to its surface. Its volume doubles in the process. Assuming isothermal conditions, atmospheric pressure $= 75\, cm$ of $Hg$ and ratio of densities of mercury and water $40/3$. The depth of lake will be ..... $m$