$A$ 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 ........ $J$ $(R = 8.31 \ J/mol-K)$.

$A$ diatomic gas $(\gamma=1.4)$ does $100 \,J$ of work in an isobaric expansion. The heat given to the gas is: (in $\,J$)

$A$ 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 $\text{ kJ}$)

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 $R$)

An ideal gas goes from an initial state to a final state. During the process,the pressure of the gas increases linearly with temperature. Which of the following statements are correct?
$A.$ The work done by the gas during the process is zero.
$B.$ The heat added to the gas is different from the change in its internal energy.
$C.$ The volume of the gas is increased.
$D.$ The internal energy of the gas is increased.
$E.$ The process is isochoric (constant volume process).
Choose the correct answer from the options given below $:-$

$A$ diatomic gas $(\gamma = 1.4)$ does $400 \ J$ of work when it is expanded isobarically. The heat given to the gas in the process is ............ $J$.