A \(20 \mathrm{~L}\) vessel is divided into two compartments with the help of a removable partition. The first compartment contains \(12 \mathrm{~L}\) of hydrogen and the second compartment contains \(10 \mathrm{~L}\) of nitrogen. Now, the partition is withdrawn and the gases are allowed to mix up isothermally at \(1 \mathrm{~atm}\) and \(298 \mathrm{~K}\). Estimate \(\Delta G_{\text {mixing }} \Delta H_{\text {mixing }}\) and \(\Delta S_{\text {mixing. }}\).