The work done when $2 \ mol$ of an ideal gas expands reversibly and isothermally from a volume of $1 \ L$ to $10 \ L$ at $300 \ K$ is $(R = 0.0083 \ kJ \ K^{-1} \ mol^{-1})$ (in $kJ$)

$A$ gas is allowed to expand against a constant external pressure of $2.5 \ bar$ from an initial volume '$x$' $L$ to a final volume of $4.5 \ L$. If the amount of work done is $5 \ dm^3 \ bar$,what is the value of '$x$' (in $L$)?

For a chemical reaction,when does $\Delta H = \Delta U$ occur?

Which among the following pairs of properties are intensive?

Calculate $q$ when $0.75 \ mol$ of an ideal gas expands isothermally and reversibly at $27 \ ^oC$ from a volume of $15 \ L$ to $25 \ L$.
(Given $\log 5 = 0.70, \log 3 = 0.48$)
...... $Joule$

Explain the isothermal and free expansion of an ideal gas.