Room temperature is often assumed to be 25∘c. Calculate the molar volume of an ideal gas at 25∘c and 1 atm pressure.

24.5 liter / mol

Explanation:

1) dа ta:

a) T = 25°C = 25 + 273.15K = 298.15 K

b) P = 1 atm

c) assumption: ideal gas

2) Formulae and principles

a) Ideal gas equation: p V = n R T, where:

p = pressure V = volume n = number of moles R = universal constant of gases = 0.0821 atm-liter / K-mol T = absolute temperature (Kelvin)

b) Molar volume: ν = V / n, where:

ν = molar volume V = volume n = number of moles

3) Solution:

p V = n R T⇒ V/n = ν = RT / p =

= 0.0821 atm-liter / mol-K * 298.15 K / 1 atm

= 24.5 liter / mol