객관식
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?
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8. Gases, Liquids and Solids
The Ideal Gas Law Derivations
객관식
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
검증된 단계별 안내1
Identify the known variables: initial pressure (P1) = 315 torr, initial volume (V1) = 500 mL, final volume (V2) = 320 mL, and temperature remains constant at 130 ºC.
Recognize that since the temperature is constant, Boyle's Law applies, which states that P1 * V1 = P2 * V2, where P2 is the final pressure we need to find.
Convert the initial pressure from torr to atm for consistency with the answer choices. Use the conversion factor: 1 atm = 760 torr.
Rearrange Boyle's Law to solve for the final pressure: P2 = (P1 * V1) / V2.
Substitute the known values into the equation: P2 = (315 torr * 500 mL) / 320 mL, and calculate P2 in atm using the conversion factor from step 3.
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