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.
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.
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
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![1. Show that, when two different gases A and B of volume V
and Vg and with NA and Ng 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eeab0a9-a0e3-4666-8151-bb35463df3cf%2F50b6ce28-e263-499b-8a9c-9c9c1bc1bcc5%2Fr8thfml_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Show that, when two different gases A and B of volume V
and Vg and with NA and Ng 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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