Multiple Choice
A cylinder with a movable piston contains 0.615 moles of gas and has a volume of 295 mL. What will its volume be if 0.103 moles of gas escaped?
11 Gases
The Ideal Gas Law Derivations
Multiple Choice
A sample of nitrogen dioxide gas at 130 ºC and 315 torr occupies a volume of 500 mL. What will the gas pressure be if the volume is reduced to 320 mL at 130 ºC?
A
0.65 atm
B
0.83 atm
C
0.92 atm
D
1.6 atm
E
2.7 atm
Verified step by step guidance1
Identify the given values: initial pressure (P1) = 315 torr, initial volume (V1) = 500 mL, final volume (V2) = 320 mL, and temperature remains constant at 130 ºC.
Recognize that this problem involves Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. The formula is:
Rearrange the formula to solve for the final pressure (P2):
Substitute the known values into the equation:
Convert the final pressure from torr to atm if needed, using the conversion factor: 1 atm = 760 torr. This will help you match the answer choices provided.
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