An enclosed one mole of a monoatomic gas is taken through a process $A$ to $B$ as shown in figure. The molar heat capacity of the gas for this process is
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If a gas is taken from $A$ to $C$ through $B$ then heat absorbed by the gas is $8 \,J$. Heat absorbed by the gas in taking it from $A$ to $C$ directly is ............. $J$
A gas can be taken from $A$ to $B$ via two different processes $ACB$ and $ADB$. When path $ACB$ is used $60\, J$ of heat flows into the system and $30\, J$ of work is done by the system. If path $ADB$ is used work down by the system is $10\, J$. the heat flow into the system in path $ADB$ is ..... $J$
Given that $1\,g$ of water in liquid phase has volume $1\,cm^3$ and in vapour phase $1671\, cm^3$ at atmospheric pressure and the latent heat of vaporization of water is $2256\,J/g;$ the change in the internal energy in joules for $1\,g$ of water at $373\,K$ when it changes from liquid phase to vapour phase at the same temperature is ....... $J$
Consider a spherical shell of radius $R$ at temperature $T$. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume$E=$ $\frac{U}{V} \propto {T^4}$ and pressure $P = \frac{1}{3}\left( {\frac{U}{V}} \right)$ If the shell now undergoes an adiabatic expansion the relation between $T$ and $R$ is
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.
One mole of ${O_2}$ gas having a volume equal to $22.4$ litres at ${0^o}C$ and $1$ atmospheric pressure in compressed isothermally so that its volume reduces to $11.2$ litres. The work done in this process is ...... $J$
Under isothermal condition, the pressure of a gas is given by $P = aV ^{-3}$, where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to $..........\,P$
The pressure and density of a diatomic gas $(\gamma = 7/5)$ change adiabatically from $(P, d)$ to $(P', d')$. If $\frac{{d'}}{d} = 32$, then $\frac{{P'}}{P}$ should be