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Consider an ideal gas enclosed in a 1.00 L container at an internal pressure of

ID: 829361 • Letter: C

Question

Consider an ideal gas enclosed in a 1.00 L container at an internal pressure of 10.0 atm.

Calculate the work, w, if the gas expands against a constant external pressure of 1.00 atm to a final volume of 25.0 L. Answer in J.

Now calculate the work done if this process is carried out in two steps.

1. First, let the gas expand against a constant external pressure of 5.00 atm to a volume of 5.00 L.

2. From there, let the gas expand to 25.0 L against a constant external pressure of 1.00 atm.

Answer in J.

Explanation / Answer

if the gas expands against a constant external pressure of 1.00 atm

work done by the gas = 1* ( 25 - 1) = 24 atm L = 2431.799 J

1) gas expand against a constant external pressure of 5.00 atm

work done by the gas = 5* ( 5 - 1) = 20 atm L = 2026.499 J

2) gas expand to 25.0 L against a constant external pressure of 1.00 atm.

work done by the gas = 1* ( 25 - 5) = 20 atm L = 2026.499 J