One mole of an ideal gas at $300 \ K$ is expanded isothermally from an initial volume of $1 \ L$ to $10 \ L$. The value of $\Delta E$ for this process is $(R = 2 \ cal \ mol^{-1} \ K^{-1})$.

Calculate the constant external pressure required to expand $2$ moles of an ideal gas from volume $15 \ dm^{3}$ to $20 \ dm^{3}$ if the amount of work done is $-600 \ J$. (in $bar$)

Among the quantities,density $(\rho)$,temperature $(T)$,enthalpy $(H)$,heat capacity $(C_p)$,volume $(V)$ and pressure $(p)$,a set of intensive variables are

Explain: $\Delta H = q_{p}$

What is the internal energy change when $2$ moles of an ideal gas at $25^{\circ} C$ is compressed isothermally and reversibly from $1.0 \ bar$ to $10.0 \ bar$?

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures $T_1$ and $T_2$ $(T_1 < T_2)$. The correct graphical depiction of the dependence of work done $(|w|)$ on the final volume $(\ln V)$ is: