Question

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?

Answer 1

0.40 atm

Step-by-step 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