Five moles of an ideal gas at $1 \ bar$ and $298 \ K$ is expanded into vacuum to double the volume. The work done is :-

Among the following,the number of state variables is $.....$
Internal energy $(U)$; Volume $(V)$; Heat $(q)$; Enthalpy $(H)$

In thermodynamics,the $P-V$ work done is given by $w = -\int P_{ext} dV$. For a system undergoing a particular process,the work done is $w = -\int \left(\frac{RT}{V - b} - \frac{a}{V^2}\right) dV$. This equation is applicable to a:

The value of $\Delta H - \Delta E$ for the following reaction at $27 \ ^\circ C$ will be $2NH_{3(g)} \to N_{2(g)} + 3H_{2(g)}$

The formation of water from $H_{2(g)}$ and $O_{2(g)}$ is an exothermic reaction because

Predict the change in internal energy for an isolated system at constant volume.