A sample of a gas has a volume of 52 l at a pressure of 1.2 atm. what volume will the gas occupy if the pressure is changed to 0.75 atm?

Respuesta :

Equation of state of an ideal gas

The ideal gas law is derived from the gas laws of Boyle, Charles, Gay Lussac and General.

To solve this exercise, we obtain the data of the exercise:

  • V₁ = 52 Lt
  • P₁ = 1,2 atm
  • P₂ = 0.75 atm
  • V₂ = ¿?

The general formula of the Equations of state of an ideal gas is:

P₁V₁=P₂V₂, Where

  • P₁ = Initial pressure
  • V₁ = Initial volume
  • P₂ = End Pressure
  • V₂ = Final Volume

We clear the formula, since it is the value that we must calculate.

V₂ = P₁V₁ / P₂

To solve, we substitute our data in the formula; and we solve

V₂ = (1,2 atm)·(52 Lt) / 0.75 atm

V₂ = 0.832 Lt

Answer: The volume that the gas will occupy if the pressure increases to 0.75 atm is 0.832 lt.

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