Question

The stopcock connecting a 2.00 L bulb containing hydrogen gas at a pressure of 616 torr, and a 2.00 L bulb containing argon gas at a pressure of 426 torr, is opened and the gases are allowed to mix. Assuming that the temperature remains constant, the final pressure in the system is torr.

Answer 1

The given volume of hydrogen and argon gas is 2L at a pressure of 616 Torr and 426 Torr respectively.

Since after the petcock is opened the total volume of the container increases to 4.00L,

now by the ideal gas equation we can say that

by making by volume twice the pressure decreases to half of the initial value

let,

therefore the final pressure of gases are -

now by Dalton’s Law of Partial Pressure, The total pressure of a mixture of gases equals the sum of the pressures that each gas would exert if it were alone.

Mathematically Dalton’s Law of Partial Pressures can be written as: