1. Show that, when two different gases A and B of volume V and Vg and with N and NR molecules respectively are mixed together at constant temperature to form a volume VA+VB, there is an increase in the total entropy given by the mixing term k[(NA+NB) log(VA+V½)– NA log VA-NB log VB] Hence deduce that, when VA = V and NA = NB = N, the mixing term is 2Nk log 2.

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