What is the correct mathematical relationship between the number of moles, the volume, and the standard molar volume of a substance?
Answer:
\(V_{m} = \frac{V}{n}\)
Explanation:
Molar volume is the volume occupied by 1 mole of a substance.
For gases, based on the ideal gas law we have:
\(PV = nRT\)
where, P = pressure, V= volume, n = moles, R = gas constant, T = temperature
\(\frac{V}{n} = \frac{RT}{P}\)
Here, the molar volume is given as:
\(V_{m} = \frac{V}{n}\)
Under standard temperature and pressure conditions, the molar volume of an ideal gas is 22.4 L/mol