Answer:
42L
Step-by-step explanation:
Using the combined gas law equation as follows:
P1V1/T1 = P2V2/T2
Where;
P1 = initial pressure (atm)
P2 = final pressure (atm)
V1 = initial volume (L)
V2 = final volume (L)
T1 = initial temperature (K)
T2 = final temperature (K)
According to the provided information in this question, P1 = 2atm, V1 = 15L, T1 = 330K, T2 = 462K, P2 = 1atm, V2 = ?
Using the formula;
P1V1/T1 = P2V2/T2
2 × 15/330 = 1 × V2/462
30/330 = V2/462
Cross multiply;
462 × 30 = 330 × V2
13860 = 330V2
V2 = 13860 ÷ 330
V2 = 42L
The new volume is 42L