"Equal gas containers are connected by a capillary. One is kept in a higher temperature then the other. If the capillary not to thin system will reach mechanical equilibrium. Th cold container will then have more molecules then the hot one. the entropy per molecule is higher in hot gas.
If entropy maximum subject to temperature constraint molecules would move from cold to hot!!!
Chemical potential will be different on the tow sides in steady state.
Zero lows does not apply!!!"
How can i solve this exercise?

Question

"Equal gas containers are connected by a capillary. One is kept in a higher temperature then the other. If the capillary not to thin system will reach mechanical equilibrium. Th cold container will then have more molecules then the hot one. the entropy per molecule is higher in hot gas. 
If entropy maximum subject to temperature constraint molecules would move from cold to hot!!! 
Chemical potential will be different on the tow sides in steady state.
Zero lows does not apply!!!"
How can i solve this exercise?