$A$ diatomic gas $(\gamma = 1.4)$ does $300 \ J$ of work when expanded isobarically. The heat given to the gas in this process is: (in $J$)

The pressure $P$ of an ideal diatomic gas varies with its absolute temperature $T$ as shown in the figure. The molar heat capacity of the gas during this process is ........... $R$ [$R$ is the gas constant].

In the figure shown,the amount of heat supplied to one mole of an ideal gas is plotted on the horizontal axis and the amount of work done by the gas is plotted on the vertical axis. Assuming the process to be isobaric,identify the gas.

Which of the following relations is correct for an isochoric process?

$A$ frictionless piston-cylinder based enclosure contains some amount of gas at a pressure of $400 \text{ kPa}$. Heat is transferred to the gas at constant pressure in a quasi-static process. The piston moves up slowly through a height of $10 \text{ cm}$. If the piston has a cross-sectional area of $0.3 \text{ m}^2$, the work done by the gas in this process is: (in $\text{ kJ}$)

$A$ 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)