When a supply of hydrogen gas is held in a 4 liter container at 320 K it exerts a pressure of 800 torr. The supply is moved to a 2 liter container, and cooled to 160 K. What is the new pressure of the confined gas?

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When a supply of hydrogen gas is held in a 4 liter container at 320 K it exerts a pressure of 800 torr. The supply is moved to a 2 liter container, and cooled to 160 K. What is the new pressure of the confined gas?

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Answer 1 · 2014-12-19T22:07:48

The answer is $P_2 = 800$ $t o rr$ .

The best way to approach this problem is by using the ideal gas law, $PV = nRT$ . Since the hydrogen is moved from a container to another, we presume that the number of moles remains constant. This will give us 2 equations

$P_1V_1 = nRT_1$ and $P_2V_2 = nRT_2$ . Since $R$ is a constant as well, we can write

$nR = (P_1V_1)/T_1 = (P_2V_2)/T_2 ->$ the combined gas law.

Therefore, we have

$P_2 = V_1/V_2 * T_2/T_1 * P_1 = (4L)/(2L) * (160K)/(320K) * 800t o rr = 800t o rr$ .

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When a supply of hydrogen gas is held in a 4 liter container at 320 K it exerts a pressure of 800 torr. The supply is moved to a 2 liter container, and cooled to 160 K. What is the new pressure of the confined gas?

1 Answer

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