LEARNING GOAL Use the combined gas law to calculate the final pressure, volume,
ID: 555270 • Letter: L
Question
LEARNING GOAL Use the combined gas law to calculate the final pressure, volume, or temperature of a gas when changes in two of these properties are given and the amount of gas is constant. A sample of helium gas has a volume of 6.50 L at a pressure of 845 mmHg and a temperature of 25 °C. What is the final pres- sure of the gas, in atmospheres, when the volume and tempera- ture of the gas sample are changed to the following, if the amount of gas does not change? a. 1850 mL and 325 K b, 2.25 L and 12°C c. 12.8 L and 47 °C 8.35 VIExplanation / Answer
From gas law relation:
P1V1 / T1 = P2V2 / T2 --------------------(1)
Given, P1 = 885 mmHg = 1.164 atm; V1 = 6.50L and T1 = 25 + 273 = 298K
(a) now, P2 = ?, V2 = 1850mL = 1.850L, T2 = 325K
from eq (1): P2 = P1V1T2 / T1 V2
P2 = 1.164 x 6.50 x 325 / 298 x 1.850
P2 = 2458.95 / 551.3
P2 = 4.46atm
(b) now, P2 = ?, V2 = 2.25L, T2 = 12 + 273 = 285K
from eq (1): P2 = P1V1T2 / T1 V2
P2 = 1.164 x 6.50 x 285 / 298 x 2.25
P2 = 2156.31 / 670.5
P2 = 3.21atm
(c) now, P2 = ?, V2 = 12.8L, T2 = 47 + 273 = 350K
from eq (1): P2 = P1V1T2 / T1 V2
P2 = 1.164 x 6.50 x 350 / 298 x 12.8
P2 = 2648.1 / 3814.4
P2 = 0.694atm
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