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

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In summary, when using the ideal gas law equation and solving for V with constant R = 8.314 J·mol−1·K−1, the resultant units are in m^3. This is based on the units being put into the equation, with P in Pa and T in K. The conversion factors for Pa and J show that V comes out in m^3, rather than in L.
  • #1
anisotropic
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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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  • #2
m3

Trust your units :smile:

For L one uses 8.314x103
 
  • #3
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)
 
  • #4
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 [itex] 1 Pa = 1 N/m^2 [/itex] (Newton per meter squared) and that [itex] 1 N = 1 J/m [/itex] so that [itex] 1 Pa = 1 J/m^3 [/itex] which shows that V comes out in [itex] m^3 [/itex]
 

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

1. What is PV = nRT and what does it represent?

PV = nRT is the ideal gas law, which is a mathematical equation used to describe the behavior of gases under various conditions. It represents the relationship between pressure (P), volume (V), number of moles (n), gas constant (R), and temperature (T) of an ideal gas.

2. What are the units for each variable in PV = nRT?

The units for pressure (P) are typically measured in pascals (Pa) or atmospheres (atm). Volume (V) is measured in liters (L) or cubic meters (m^3). Number of moles (n) is measured in moles (mol). Gas constant (R) has different units depending on the value of R used, but it is typically measured in joules per mole-kelvin (J/mol-K). Temperature (T) is measured in kelvin (K).

3. Can the units for PV = nRT be converted to other units?

Yes, the units for PV = nRT can be converted to other units as long as the conversion is consistent for all variables. For example, if pressure is originally measured in atmospheres, it can be converted to pascals by multiplying by 101325 (1 atm = 101325 Pa). Similarly, volume can be converted from liters to cubic meters by multiplying by 0.001 (1 L = 0.001 m^3).

4. How is PV = nRT used in scientific experiments and calculations?

PV = nRT is often used in experiments and calculations involving gases, such as determining the amount of gas in a container, predicting the behavior of gases under different conditions, and calculating the volume of a gas at a given temperature and pressure. It is also used in the ideal gas law equation to calculate the molar mass of a gas.

5. Are there any limitations to using PV = nRT?

Yes, PV = nRT is only applicable to ideal gases, which do not exist in the real world. It also assumes that the gas particles have no volume and do not interact with each other. In real-world situations, these assumptions may not hold true and the ideal gas law may not accurately predict the behavior of gases. Other equations, such as the van der Waals equation, may be used to account for these deviations from the ideal gas behavior.

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