An ideal gas expands against a constant external pressure of $3 \ atm$ from $4 \ dm^3$ to $6 \ dm^3$. The work done during this process is ..... $J$.

An ideal gas expands isothermally and reversibly from $10 \ m^3$ to $20 \ m^3$ at $300 \ K$,performing $5.187 \ kJ$ of work on the surroundings. Calculate the number of moles of gas used.

Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius $10 \, m$,mass $100 \, kg$ is filled with helium at $1.66 \, bar$ at $27^{\circ} C$. (Density of air $= 1.2 \, kg \, m^{-3}$ and $R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1}$).

The deviation of a gas from ideal behavior can be expressed by which of the following?

In order to increase the volume of a gas by $10 \%$,the pressure of the gas should be

At very low pressure,the compressibility factor $Z$ of a $CO_2$ gas with constant molar volume is: