Which relation holds for a fixed number of moles of an ideal gas under two sets of conditions?
AP1V1/T1 equals P2V2/T2
BP1T1/V1 equals P2T2/V2
CV1T1/P1 equals V2T2/P2
DP1V1T1 equals P2V2T2
Answer & Solution
Correct answer: A. P1V1/T1 equals P2V2/T2
1. Start from PV = nRT and divide both sides by T, giving PV over T equals nR.
2. If the number of moles does not change, then n times R is the same before and after.
3. So P1V1 over T1 equals P2V2 over T2, which is the combined gas law.
4. The temperature sits in the denominator, so any option that multiplies by T instead has the relationship upside down.
5. Use atmospheres, litres and kelvin throughout for the units to stay consistent.
_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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