What is the unit of the gas constant R in the ideal gas law? (2023)

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Question: What is the unit of the gas constant R in the ideal gas law? (2023)

Options:

Correct Answer: L·atm/(K·mol)

Exam Year: 2023

Solution:

The gas constant R is commonly expressed in the unit L·atm/(K·mol).

What is the unit of the gas constant R in the ideal gas law? (2023)

What is the unit of the gas constant R in the ideal gas law? (2023)

Step 1: Understand that the ideal gas law is represented by the equation PV = nRT.
Step 2: Identify the variables in the equation: P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
Step 3: Recognize that R connects the units of pressure, volume, temperature, and amount of substance (moles).
Step 4: Note that pressure (P) is often measured in atmospheres (atm) and volume (V) in liters (L).
Step 5: Understand that temperature (T) is measured in Kelvin (K) and the amount of substance (n) in moles (mol).
Step 6: Combine these units to find the unit of R: R = (P * V) / (n * T).
Step 7: Substitute the units: R = (atm * L) / (mol * K).
Step 8: Conclude that the unit of the gas constant R is L·atm/(K·mol).

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