Half a mole of an ideal monoatomic gas is heated at a constant pressure of $1\, atm$ from $20\,^oC$ to $90\,^oC$. The work done by the gas is close to ..... $J$ (Gas constant $R = 8.31\, J/mol\cdot K$).

The temperature of $3.00 \, mol$ of an ideal diatomic gas is increased by $40.0^{\circ} C$ without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy of the gas to the amount of work done by the gas is $\frac{x}{10}$,then the value of $x$ (round off to the nearest integer) is ..... . (Given $R = 8.31 \, J \, mol^{-1} K^{-1}$)

Define an isobaric process. Derive an expression for the work done in such a process.

$A$ 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 $J$)

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

When the temperature of $1 \, \text{mole}$ of an ideal gas is increased from $0^{\circ}C$ to $100^{\circ}C$ at constant pressure, what is the work done during the process? $(R = 8.3 \, J/mol \cdot K)$