### What is the temperature of the small vessel at the end of

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A small nitrogen container is at Pressure P1 = 5 bar and T1 = 300 K. It's been filled from a larger nitrogen container, which is P= 10 bar and T = 300 K. The filling process ends when pressure in the small container is Pf = 10 bar. What is the temperature of the small vessel at the end of the filling process? Nitrogen can be considered ideal with Cv=5R/2, independent of temperature. Please state all assumptions

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