Which value of the gas constant R is used when pressure is in atm and volume in litres?
A8.314 J/mol K
B62.36 L torr/mol K
C0.08206 L atm/mol K
D101.325 kPa/mol K
Answer & Solution
Correct answer: C. 0.08206 L atm/mol K
1. The units of R must cancel the units you feed into PV = nRT.
2. With pressure in atmospheres and volume in litres, R must carry L atm in its numerator.
3. That value is 0.08206 L atm per mol per K.
4. The value 8.314 carries joules and is used for energy work such as average kinetic energy, so picking it here would leave the units unbalanced.
_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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