alleryStart learning →A gas sample occupies 15.0 mL at 13.0 psi. At constant temperature, what is its pressure when the volume is 7.5 mL?
A26 psi
B13 psi
C6.5 psi
D39 psi
Answer & Solution
Correct answer: A. 26 psi
1. Temperature and amount are fixed while volume and pressure change, so Boyle's law applies.
2. Write P1V1 equals P2V2: 13.0 psi x 15.0 mL = P2 x 7.5 mL.
3. The left side is 195 psi mL.
4. Divide by the new volume: P2 = 195 / 7.5 = 26 psi.
5. Halving the volume must double the pressure, so 26 psi also passes the sense check.
6. The answer 6.5 psi comes from halving the pressure instead of doubling it, which inverts the relationship.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 9 "Gases", section 9.2 Relating Pressure, Volume, Amount, and Temperature: The Ideal Gas Law_
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