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For example, if a 50 litre gas cylinder initially at 200 bara is used to fill a 600 litre cylinder from atmospheric pressure to 1.5 Bara. What would the change in pressure be in the 50 litre cylinder?

My thoughts are that the temperature in both cylinders will change with pressure but that complicates the process. The number of moles of gas must be the conserved quantity in the process and assuming the process is adiabatic will presumably simplify the solution.

Any help would be very appreciated.