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A gas is expanded from an initial volume of 1 L at 1 atm at 7 °C to a final volume of 5 L.

During the expansion the gas increases to 287 °C. What is the final pressure?

Respuesta :

maacastrobr

Answer:

0.40 atm

Explanation:

To answer this problem we can use the combined gas law:

  • T₂P₁V₁ = T₁P₂V₂

In this case:

  • T₂ = 287 °C ⇒ 287 + 273.16 = 560.16 K
  • P₁ = 1 atm
  • V₁ = 1 L
  • T₁ = 7 °C ⇒ 7 + 273.16 = 280.16 K
  • P₂ = ?
  • V₂ = 5 L

We input the data:

  • 560.16 K * 1 atm * 1 L = 280.16 K * P₂ * 5 L

And solve for P₂:

  • P₂ = 0.40 atm

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