An engine operating between $150\,^{\circ}C$ and $25\,^{\circ}C$ takes $500\,J$ of heat from a higher temperature reservoir. If there are no frictional losses,the work done by the engine is.....$J$.

For the reaction $2 H_{2(g)} + O_{2(g)} \longrightarrow 2 H_2O_{(g)}$,at $300 \ K$,$\Delta G$ and $\Delta H$ of water are $-228.4 \ kJ \ mol^{-1}$ and $-241.60 \ kJ \ mol^{-1}$,respectively. Calculate the value of change in entropy for the given reaction.

Find the correct statement.

Among the following processes,for which process is the change in entropy $(\Delta S)$ negative?

Provide the mathematical equation for entropy change.

If the enthalpy change for the transition of liquid water to steam is $30 \ kJ \ mol^{-1}$ at $27 \ ^oC,$ the entropy change for the process would be ............. $J \ mol^{-1} \ K^{-1}$