If 10L of O2 at 273K and 1 atm is compressed to a pressure of 7 atm at 250K, what is the new volume? *Please pay attention that it says "7 atm" and not "7L"!!!*

Respuesta :

The new volume of the gas, given the data is 1.3 L

Data obtained from the questiom

  • Initial volume (V₁) = 10 L
  • Initial pressure (P₁) = 1 atm
  • Initial temperature (T₁) = 273 K
  • New pressure (P₂) = 7 atm
  • New temperature (T₂) = 250 K
  • New Volume (V₂) =?

How to determine the new volume

The new volume of the gas can be obtained by using the combined gas equation as illustrated below:

P₁V₁ / T₁ = P₂V₂ / T₂

(1 × 10) / 273 = (7 × V₂) / 250

Cross multiply

273 × 7 × V₂ = 10 × 250

Divide both sides by 273 × 7

V₂ = (10 × 250) / (273 × 7)

V₂ = 1.3 L

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