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A thermodynamic system is taken from state $A$ to $B$ along $ACB$ and is brought back to $A$ along $BDA$ as shown in the $PV$ diagram. The net work done during the complete cycle is given by the area
If $\gamma $ denotes the ratio of two specific heats of a gas, the ratio of slopes of adiabatic and isothermal $PV$ curves at their point of intersection is
When an ideal triatomic non-linear gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is
In $1^{\text {st }}$ case, Carnot engine operates between temperatures $300\,K$ and $100\,K$. In $2^{\text {nd }}$ case, as shown in the figure, a combination of two engines is used. The efficiency of this combination (in $2^{\text {ad }}$ case) will be.
$1\,kg$ of water at $100\, ^{\circ}C$ is converted into steam at $100^{\circ}\,C$ by boiling at atmospheric pressure. The volume of water changes from $1.00 \times 10^{-3}\,m ^3$ as a liquid to $1.671\,m ^3$ as steam. The change in internal energy of the system during the process will be $........kJ$ (Given latent heat of vaporisaiton $=2257\,kJ / kg$. Atmospheric pressure $=1 \times 10^5\,Pa$ )