There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kP

Question

There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K , at steady state the pressure in the vessels will be (in kPa).

TestHub · Accepted Answer

Number of masses will remain constant ​ n 1 ​ + n 2 ​ = n f ​ RT 1 ​ P 1 ​ V 1 ​ ​ + RT 2 ​ P 2 ​ V 2 ​ ​ = RT f ​ P f ​ V f ​ ​ R × 1000 8 × 2 V ​ + R × 500 7 × V ​ = R × 600 P f ​ ( 3 V ) ​ 1000 16 ​ + 1000 14 ​ = R × 600 P f ​ ​ 1000 30 ​ = 200 P f ​ ​ P f ​ = 6 kPa ​

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