Answer:
250L
Step-by-step explanation:
Data;
V1 = 200L
P1 = 10atm
T1 = 400K
T2 = 100K
P2 = 2atm
V2 = ?
To solve this question, we'll have to use the combined gas equation which is a combination of Boyle's law, Charles law and pressure law.
From combined gas equation,
(P1 × V1) / T1 = (P2 × V2) / T2
P1 × V1 × T2 = P2 × V2 × T1
Solve for V2,
V2 = (P1 × V1 × T2) / P2 × T1
V2 = (10 × 200 × 100) / (2 × 400)
V2 = 200,000 / 800
V2 = 250L
The final volume of the gas is 250L