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Answer:
5.12 m³
Explanation:
Using the combined gas law formula as follows:
P1V1/T1 = P2V2/T2
Where;
P1 = initial pressure (atm)
P2 = final pressure (atm)
V1 = initial volume (m³)
V2 = final volume (m³)
T1 = initial temperature (K)
T2 = final temperature (K)
According to this question;
V1 = 5.0 m³
V2 = ?
P1 = 0.84 atm
P2 = 0.89 atm
T1 = 298 K
T2 = 323 K
Using
P1V1/T1 = P2V2/T2
0.84 × 5/298 = 0.89 × V2/323
4.2/298 = 0.89V2/323
Cross multiply
4.2 × 323 = 298 × 0.89V2
1356.6 = 265.22V2
V2 = 1356.6 ÷ 265.22
V2 = 5.12 m³