Question

Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to

decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.

Answer 1

See below ~

Explanation:

Based on the Ideal Gas Equation,

• V ∝ T
• V ∝ 1/P

Using T :

• V₁/T₁ = V₂/T₂
• 200/300 = 100/T₂
• T₂ = 100/200 x 300
• T₂ = 0.5 x 300
• T₂ = 150 K

Using P :

• P₁V₁ = P₂V₂
• 100 x 200 = P₂ x 100
• P₂ = 200 kPa

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.