Question
A sample of krypton gas at a pressure of 0.825 atm and a temperature of 27.0 °C, occupies a volume of 14.7 liters. If the gas is allowed to expand at constant temperature to a volume of 24.7 liters, the pressure of the gas sample will be
atm.
atm.
Answers
GPT 3.5
To find the final pressure of the gas sample, we can use the ideal gas law equation:
P1V1 = P2V2
Where:
P1 = initial pressure = 0.825 atm
V1 = initial volume = 14.7 L
P2 = final pressure (unknown)
V2 = final volume = 24.7 L
Plugging in the values:
(0.825 atm)(14.7 L) = P2(24.7 L)
Solving for P2:
0.825 atm * 14.7 L = P2 * 24.7 L
12.1275 = 24.7 P2
P2 = 12.1275 / 24.7
P2 ≈ 0.492 atm
Therefore, the pressure of the gas sample when it expands to a volume of 24.7 liters is approximately 0.492 atm.
P1V1 = P2V2
Where:
P1 = initial pressure = 0.825 atm
V1 = initial volume = 14.7 L
P2 = final pressure (unknown)
V2 = final volume = 24.7 L
Plugging in the values:
(0.825 atm)(14.7 L) = P2(24.7 L)
Solving for P2:
0.825 atm * 14.7 L = P2 * 24.7 L
12.1275 = 24.7 P2
P2 = 12.1275 / 24.7
P2 ≈ 0.492 atm
Therefore, the pressure of the gas sample when it expands to a volume of 24.7 liters is approximately 0.492 atm.
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