One mole of helium is adiabatically expanded from its initial state $({P_i},{V_i},{T_i})$ to its final state $({P_f},{V_f},{T_f})$. The decrease in the internal energy associated with this expansion is equal to
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An ideal gas undergoes an adiabatic process obeying the relation $PV^{4/3} =$ constant. If its initial temperature is $300\,\, K$ and then its pressure is increased upto four times its initial value, then the final temperature is (in Kelvin):
A carnot engine with its cold body at $17\,^oC$ has $50\%$ effficiency. If the temperature of its hot body is now increased by $145\,^oC$, the efficiency becomes...... $\%$
A sample of gas at temperature $T$ is adiabatically expanded to double its volume. The work done by the gas in the process is $\left(\right.$ given, $\left.\gamma=\frac{3}{2}\right)$ :
A gas undergoes a change of state during which $100 J$ of heat is supplied to it and it does $20 J$ of work. The system is brought back to its original state through a process during which $20 J$ of heat is released by the gas. The work done by the gas in the second process is ....... $J$
Two Carnot engines $A$ and $B$ are operated in series. The first one, $A,$ receives heat at $T_1(= 600\,K)$ and rejects to a reservoir at temperature $T_2.$ The second engine $B$ receives heat rejected by the first engine and, in turns, rejects to a heat reservoir at $T_3 (=400\,K).$ Calculate the temperature $T_2$ if the work outputs of the two engines are equal ..... $K$
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 ..... $^oC$ ($\gamma = 3/2$)
In changing the state of thermodynamics from $A$ to $B$ state, the heat required is $Q$ and the work done by the system is $W.$ The change in its internal energy is