5. A gas occupies 2000. L at 100.0 K and exerts a pressure of 100.0 kPa. What volume will the gas occupy if the temperature is increased to 400. K and the pressure is increased to 200. kPa?

The volume that the gas will occupy when the temperature is increased to 400.0 K and the pressure is increased to 200. kPa is 4000. L

Explanation:

Here we are required to utilize the combined gas equation as follows;

Where:

P₁ = Initial pressure of the gas = 100.0 kPa

V₁ =  Initial volume of the gas = 2000. L

T₁ =  Initial temperature of the gas = 100.0 K

P₂ = Final pressure of the gas = 200.0 kPa

V₂ =  Final volume of the gas = Required

T₂ =  Final temperature of the gas = 400.0 K

Making V₂ the formula subject of the combined gas equation, we have;

Therefore, by plugging the values, we have;

The volume that the gas will occupy when the temperature is increased to 400.0 K and the pressure is increased to 200. kPa = 4000. L.