Chemistry Question

Question

A Container is filled with oxygen gas. The gas is at a temperature of 25.0 celcius, a pressure of 101.3 kpa and has a volume of 1.90 liters. What will happen to the temperature if the container is smushed to a volume of .250 liters and a pressure of 56.2 kpa

Answer 1

Use the combined gas law.

P₁V₁ / T₁ = P₂V₂ / T₂

P₁ = 101.3 kPa

V₁ = 1.90 L

T₁ = 25.0 + 273 = 298 K

P₂ = 56.2 kPa

V₂ = 0.250 L

T₂ = ?

Rearrange the above equation and solve for T₂

T₂ = P₂V₂T₁ / P₁V₁

T₂ = (56.2 kPa x 0.250 L x 298 K) / (101.3 kPa x 1.90 L) = 21.8 K

T₂ = 21.8 - 273 = -251.2 °C