$A$ diatomic gas $\left(C_P = \frac{7}{2} R\right)$ does $200 \ J$ of work when it is expanded isobarically. The heat given to the gas in the process is (in $J$)

The equation of state for a gas is given by $PV = nRT + \alpha V$,where $n$ is the number of moles and $\alpha$ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $T_0$ and $P_0$ respectively. The work done by the gas when its temperature doubles isobarically will be

$A$ cyclic process is shown in the figure. The work done during the isobaric expansion is ...... $J$.

Derive the expression for work done by a gas during an isobaric process (constant pressure).

Given the relation $V = K \left( \frac{P}{T} \right)^{0.33}$,where $K$ is a constant. Identify the type of thermodynamic process.

Find the heat energy required to increase the temperature of $2$ moles of a monoatomic gas from $273 \ K$ to $373 \ K$. (No work is done in the process.) (in $R$)