The ratio of specific heats of a gas is $\gamma$. The change in internal energy of one mole of the gas,when the volume changes from $V$ to $2V$ at constant pressure $p$,is:

At constant pressure,what fraction of the heat supplied to an ideal gas is converted into mechanical work?

$A$ container having $1 \ mol$ of a gas at a temperature of $27 \ ^oC$ has a movable piston which maintains a constant pressure of $1 \ atm$ in the container. The gas is compressed until the temperature becomes $127 \ ^oC$. The work done is ........ $J$ $(R = 8.31 \ J/mol-K)$.

$A$ cyclic process of a thermodynamic system is taken through $a \to b \to c \to d \to a$ as shown in the $P-V$ diagram. The work done by the gas along the path $b \to c$ is

$A$ graph is drawn between absolute temperature and volume of $3$ moles of helium gas as shown in the figure. If $5 \text{ cal}$ of heat is used in the process, then the work done is (in $\text{ J}$)

$A$ cylinder of fixed capacity $44.8 \ L$ contains a monatomic gas at standard temperature and pressure $(STP)$. The amount of heat required to raise the temperature of the gas in the cylinder by $10^{\circ}C$ is: ($R =$ universal gas constant)