Ideal Gas Law: Solving for V with Constant R: Units L or m3?

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When solving for volume (V) in the ideal gas law using R = 8.314 J·mol−1·K−1, the resultant units are cubic meters (m³), not liters (L). This conclusion is based on the unit conversions where 1 Pascal (Pa) equals 1 Joule per cubic meter (J/m³). Although some may remember using liters, the equation's units dictate that volume must be expressed in m³ when using the specified R value. For calculations involving pressure in Pascals and temperature in Kelvin, the consistent unit output is indeed m³. Understanding these unit relationships is crucial for accurate application of the ideal gas law.
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When using the ideal gas law equation and solving for V, with constant R = 8.314 J·mol−1·K−1, what are the resultant units? L or m3?

I always remember it being in L, but wouldn't it be m3 based purely on the units being put into the equation?

Other units I'm using:

P: Pa (not kPa)
T: K
 
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m3

Trust your units :smile:

For L one uses 8.314x103
 
Borek said:
For L one uses 8.314x103
Alternatively, there's also the other commonly used unit system, seen in R=0.0821 L-atm/(K-mol)
 
anisotropic said:
When using the ideal gas law equation and solving for V, with constant R = 8.314 J·mol−1·K−1, what are the resultant units? L or m3?

I always remember it being in L, but wouldn't it be m3 based purely on the units being put into the equation?

Other units I'm using:

P: Pa (not kPa)
T: K


what you need to know to answer the question is that 1 Pa = 1 N/m^2 (Newton per meter squared) and that 1 N = 1 J/m so that 1 Pa = 1 J/m^3 which shows that V comes out in m^3
 
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