Given that $\Delta H = 0$ for the mixing of two gases,explain whether the diffusion of these gases into each other in a closed container is a spontaneous process or not?

(A) For the mixing of two gases,the enthalpy change is $\Delta H = 0$.
According to the Gibbs free energy equation,$\Delta G = \Delta H - T\Delta S$.
Since $\Delta H = 0$,the equation becomes $\Delta G = -T\Delta S$.
When two gases mix,the entropy of the system increases,meaning $\Delta S > 0$.
Therefore,$\Delta G$ becomes negative $(\Delta G < 0)$,which indicates that the process is spontaneous.