Determine γ if a sample of N2 (g) expands reversibly and adiabatically from an initial pressure and volume of 100 Torr and 350 cm3, to a final pressure and volume of 5.0 Torr and 7.5 dm3.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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  1. Determine γ if a sample of N2 (g) expands reversibly and adiabatically from an initial pressure and volume of 100 Torr and 350 cm3, to a final pressure and volume of 5.0 Torr and 7.5 dm3.

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Step 1

For a reversible adiabatic process, the relationship between pressure (P) and volume (V) can be stated as follows:

PVγ  =  constantP1V1γ  =  P2V2γV1γV2γ  =  P2P1V1V2γ  =  P2P1

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