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A gas initially at 5.0 atm pressure is heated from 0 degC to 546 degC while simultaneously being compressed to one-third of its original volume. What is the final pressure of the gas?

1. 10 atm
2. 30 atm
3. 45 atm
4. 5 atm

Correct answer: 45 atm

Solution

Using P1*V1/T1 = P2*V2/T2: P2 = P1*(V1/V2)*(T2/T1) = 5*(3)*(819/273) = 5*3*3 = 45 atm.

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