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svet-max [94.6K]
2 years ago
5

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

Chemistry
1 answer:
Debora [2.8K]2 years ago
6 0

Answer:

  • 24.5 liter / mol

Explanation:

<u>1) Data:</u>

a) T = 25°C = 25 + 273.15K = 298.15 K

b) P = 1 atm

c) assumption: ideal gas

<u>2) Formulae and principles</u>

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

<u>3)  Solution:</u>

  • 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                           

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