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An ideal gas, initially in state $\left( P _{12}, V _1, T _1\right)$ is expanded isobarically to $\left( P _{12}, V _2, T _2\right)$, then adiabatically $\left( P _{34}, V _3, T _3\right)$. It is then contracted isobarically to $\left( P _{34}, V _4, T _4\right)$ and finally adiabatically back to the initial state. The efficiency of this cycle is
Two Carnot engines $A$ and $B$ are operated in succession. The first one, $A$ receives heat from a source at $T_1 = 800\, K$ and rejects to sink at $T_2K$. The second engine $B$ receives heat rejected by the first engine and rejects to another sink at $T_3 = 300\, K$. If the work outputs of two engines are equal, then the value of $T_2$ is ...... $K$
The $P-V$ diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process $CD$ is (use $\gamma=1.4$) (in $J$)
A cylinder fitted with a piston contains $0.2 \,moles$ of air at temperature $27°C.$ The piston is pushed so slowly that the air within the cylinder remains in thermal equilibrium with the surroundings. Find the approximate work done by the system if the final volume is twice the initial volume ...... $J$
An ideal gas at a pressures of $1$ atmosphere and temperature of ${27^o}C$ is compressed adiabatically until its pressure becomes $8$ times the initial pressure, then the final temperature is ..... $^oC$ ($\gamma = 3/2$)
An ideal gas is made to undergo the cyclic process shown in the figure below. Let $\Delta W$ depict the work done, $\Delta U$ be the change in internal energy of the gas and $Q$ be the heat added to the gas. Sign of each of these three quantities for the whole cycle will be (0 refers to no change)
A gas is compressed from a volume of $2\,m^3$ to a volume of $1\, m^3$ at a constant pressure of $100\, N/m^2$. Then it is heated at constant volume by supplying $150\, J$ of energy. As a result, the internal energy of the gas
Avessel with open mouth contains air at $60^oC$. When the vessel is heated upto temperature $T$, one fourth of the air goes out. The value of $T$ is ..... $^oC$