calculate the pressure in atm of 1.0 mole of helium in a 2.0 dm3 container at 20.0 degree celsius
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No. of moles of helium, n = 1.0 mole
Volume, V = 2.0 dm³ = 2 L ……. [∵ 1 dm³ = 1 L]
Temperature, T = 20 ℃ = 20 + 273 K = 293 K
Ideal gas constant , R = 0.082057 L atm mol⁻¹ K⁻¹
Let the pressure in atm be denoted as “P” .
Using the Ideal Gas Law, we get
PV = nRT
⇒ P = nRT/V
⇒ P = [1 * 0.082057 * 293] / 2
⇒ P = 12.02 atm
Hence, the pressure is 12.02 atm .
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