A gas can be expanded in two different paths from point A to point B. In the first path, it undergoes an expansion at constant pressure (1.3 atm) by doubling its volume (Initial volume 22.6 L). Magnitude of the heat added to the system during this part of the path is 25.2 kJ. Then continues to expand adiabatically (magnitude of the work done on the system is 7.7 kJ). Finally arrives at point B with an isothermal compression (magnitude of the heat added to the system is 9.1 kJ. On the other hand, the second path is simply a one-step process where the pressure varies as a function volume; P = α Vβ where α and β are some constant. Calculate the change in the internal energy of the system if we expand it through the second path. Give your answer in kJ. R= 8.314 J/mol K and 0°C = 273.15 K.

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A gas can be expanded in two different paths from point A to point B. In the first path, it undergoes an expansion at constant pressure (1.3 atm) by doubling its volume (Initial volume 22.6 L). Magnitude of the heat added to the system during this part of the path is 25.2 kJ. Then continues to expand adiabatically (magnitude of the work done on the system is 7.7 kJ). Finally arrives at point B with an isothermal compression (magnitude of the heat added to the system is 9.1 kJ. On the other hand, the second path is simply a one-step process where the pressure varies as a function volume; P = α Vβ where α and β are some constant. Calculate the change in the internal energy of the system if we expand it through the second path. Give your answer in kJ. R= 8.314 J/mol K and 0°C = 273.15 K.

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