5. A gas occupies 2000. Lat 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?

4000 L

Explanation:

Step 1:

Data obtained from the question. This include the following:

Initial volume (V1) = 2000 L.

Initial temperature (T1) = 100 K.

Initial pressure (P1) = 100 kPa.

Final temperature (T2) = 400 K.

Final pressure (P2) = 200 kPa.

Final volume (V2) = ... ?

Step 2:

Determination of the new volume of the gas.

The new volume of the gas can be obtained by using the general gas equation as follow:

P1V1/T1 = P2V2/T2

100 x 2000/100 = 200 x V2/400

Cross multiply to express in linear form.

100 x 200 x V2 = 100 x 2000 x 400

Divide both side by 100 x 200

V2 = (100 x 2000 x 400) / (100 x 200)

V2 = 4000 L

Therefore, the new volume of the gas is 4000 L