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?

Question

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1 point
a. 200 torr
b. 800 torr
c. 400 torr
d. 1 600 torr

Answer 1

c. 400 torr

PV = nRT

Since the number of moles of gas and the gas constant are constant, we can use the formula:

P1V1/T1 = P2V2/T2

(800 torr)(4 L)/(320 K) = P2(2 L)/(160 K)

P2 = (800 torr * 4 L * 160 K) / (320 K * 2 L)
P2 = 400 torr