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One mole of an ideal gas at an initial temperature of $T\, K$ does $6\, R\, joules$ of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $\frac{5}{3}$ , the final temperature of gas will be
Two cylinders $A$ and $B$ fitted with pistons contain equal amounts of an ideal diatomic gas at $300 K$ . The piston of $A$ is free to move while that of $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in $A$ is $30 K$ , then the rise in temperature of the gas in $B$ is ..... $K$
Match the thermodynamic processes taking place in a system with the correct conditions. In the table: $\Delta Q$ is the heat supplied, $\Delta W$ is the work done and $\Delta U$ is change in internal energy of the system
Process
Condition
$(I)$ Adiabatic
$(A)\; \Delta W =0$
$(II)$ Isothermal
$(B)\; \Delta Q=0$
$(III)$ Isochoric
$(C)\; \Delta U \neq 0, \Delta W \neq 0 \Delta Q \neq 0$
An ideal gas is expanded adiabatically at an initial temperature of $300 K$ so that its volume is doubled. The final temperature of the hydrogen gas is $(\gamma = 1.40)$
Consider a carnot's cycle operating between $T_1 = 500\,K$ and $T_2 = 300\,K$ producing $1\,kJ$ of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs .... $J$
A Carnot engine with sink's temperature at $17\,^oC$ has $50\%$ efficiency. By how much should its source temperature be changed to increases its efficiency to $60\%$ ?...... $K$