Answer:
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
