Which of the following is a state function?

The increase in entropy in $J K^{-1}$ of a substance when it absorbs $1 \ kJ$ of heat energy at $3 \ K$ is

The enthalpy of fusion of water is $6.01 \, kJ \, mol^{-1}$. The entropy change of $1 \, mole$ of ice at its melting point will be.....$J \, K^{-1} \, mol^{-1}$.

$A$ heat engine is operating between $500 \ K$ and $400 \ K$. If the engine absorbs $100 \ J$ of heat,which of the following is an impossible amount of heat rejected by the engine (in $J$)?

For a sample of a perfect gas,when its pressure is changed isothermally from $p_i$ to $p_f$,the entropy change is given by:

Calculate $\Delta S_{\text{total}}$ for a certain reaction if $\Delta H = -150 \ kJ$ and $\Delta S = 32 \ JK^{-1}$ at $300 \ K$. (in $JK^{-1}$)