Question

The volume of a gas decreases from 15.7 m3 to 11.2 m3 while the pressure changes from 1.12 atm to 1.67 atm. If the initial temperature is 245 K, what is the final temperature of the gas?

117 K
230 K
261 K
512 K

Answer 1

Use the combined gas law: P1V1/T1 = P2V2/T2 → T2 = T1 (P2V2)/(P1V1).

T2 = 245 K × (1.67 × 11.2) / (1.12 × 15.7)
≈ 245 × 18.704 / 17.584
≈ 245 × 1.0635
≈ 261 K

Answer: 261 K.