A gas occupies a volume of 2.4 L at 14.1 kPa. What volume will the gas occupy at 84.6 kPa?A.497 LB.2.5 LC.14 LD.0.40 L
Question
A gas occupies a volume of 2.4 L at 14.1 kPa. What volume will the gas occupy at 84.6 kPa?
A. 497 L
B. 2.5 L
C. 14 L
D. 0.40 L
Solution
This is a problem of gas laws, specifically Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant.
The formula for Boyle's Law is P1V1 = P2V2, where:
- P1 is the initial pressure
- V1 is the initial volume
- P2 is the final pressure
- V2 is the final volume
Given in the problem:
- P1 = 14.1 kPa
- V1 = 2.4 L
- P2 = 84.6 kPa
- V2 = ?
We can substitute the given values into the formula:
14.1 kPa * 2.4 L = 84.6 kPa * V2
Solving for V2 gives:
V2 = (14.1 kPa * 2.4 L) / 84.6 kPa = 0.40 L
So, the gas will occupy a volume of 0.40 L at 84.6 kPa. The answer is D. 0.40 L.
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