Two compartments of a rigid tank are initially separated by a partition that does not conduct heat. One side of the partition contains 2 kg of hydrogen gas initially at 100 kPa and 100°C, while the other side contains 5 kg H₂ gas at 20°C and 200 kPa. The partition is suddenly removed and the gases on either side of the partition are allowed to mix. Any necessary gas properties should be treated as constants at 300 K. If the final temperature of the gas mixture is 60°C, determine the final pressure of the gas inside the tank, and the amount of heat transferred between the tank and its surrounding during this process.

Two compartments of a rigid tank are initially separated by a partition that does not conduct heat. One side of the partition contains 2 kg of hydrogen gas initially at 100 kPa and 100°C, while the other side contains 5 kg H₂ gas at 20°C and 200 kPa. The partition is suddenly removed and the gases on either side of the partition are allowed to mix. Any necessary gas properties should be treated as constants at 300 K. If the final temperature of the gas mixture is 60°C, determine the final pressure of the gas inside the tank, and the amount of heat transferred between the tank and its surrounding during this process.