According to the combined gas law equation:
p1V1/T1 = p2V2/T2
where p1 - initial pressure, V1 - initial volume, T1 - initial temperature, p2 - final pressure, V2 - final volume, T2 - final temperature.
From here:
T2 = p2V2T1 / p1V1
As a result:
T2 = (0.5 atm × 100 cm3 × 500 K) / (1 atm × 400 cm3) = 62.5 K
Answer: 62.5 K
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