A mixture of gases at $STP$ for which $\gamma=1.5$ is suddenly compressed to $\frac{1}{9}$ th of its original volume. The final temperature of mixture is .......... $^{\circ} C$
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A source supplies heat to a system at the rate of $1000 \,W$. If the system performs work at a rate of $200\,W$. The rate at which internal energy of the system increases $.......\,W$
A Carnot freezer takes heat from water at $0\,^oC$ inside it and rejects it to the room at a temperature of $27\,^oC$. The latent heat of ice is $336 \times 10^3\, J\,kg^{-1}$. lf $5\, kg$ of water at $0\,^oC$ is converted into ice at $0\,^oC$ by the freezer, then the energy consumed by the freezer is close to
The above $P-V$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is
Figure below shows two paths that may be taken by a gas to go from a state $A$ to a state $C.$ In process $AB,$ $400 \,J$ of heat is added to the system and in process $BC,$ $100\, J$ of heat is added to the system. The heat absorbed by the system in the process $AC$ will be ...... $J$
Following figure shows two processes $A$ and $B$ for a gas. If $\Delta Q_A$ and $\Delta Q_B$ are the amount of heat absorbed by the system in two cases, and $\Delta U_A$ and $\Delta U_B$ are changes in internal energies, respectively, then
An ideal gas at ${27^o}C$ is compressed adiabatically to $\frac{8}{{27}}$ of its original volume. If $\gamma = \frac{5}{3}$, then the rise in temperature is........ $K$
Two identical vessels $A \& B$ contain equal amount of ideal monoatomic gas. The piston of $A$ is fixed but that of $B$ is free. Same amount of heat is absorbed by$A \& B$. If $B'$s internal energy increases by $100 \,\,J$ the change in internal energy of $A$ is ...... .$J$