Ask Question
2 February, 12:50

Calculate the change in molar Gibbs energy of carbon dioxide (treated as a perfect gas) at 20°C when its pressure is changed isothermally from 1.0 bar to (a) 2.0 bar and (b) 0.000 27 atm, its partial pressure in air.

+1
Answers (1)
  1. 2 February, 12:53
    0
    a) ΔG = 1688.5 J/mol = 1.7 kJ/mol

    b) ΔG = 21673.3 J/mol = 21.7 kJ/mol

    Explanation:

    Step 1: Data given

    Temperature = 20.0 °C = 293 K

    Initial temperature = 1.0 bar = 0.986923 atm

    Final temperature = 2.0 bar = 1.97385 atm

    Step 2: Calculate

    ΔG = RT * ln (Pt / Pi)

    ⇒with R = 8.314 J/K * mol

    ⇒with T = 293K

    ⇒with Pt = final pressure = 1.97385 atm

    ⇒with Pi = the initial pressure = 0.986923 atm

    ΔG = 8.314 J/mol*K * 293 K * ln (1.97385/0.986923)

    ΔG = 8.314 J/mol*K * 293 K * 0.693

    ΔG = 1688.5 J/mol = 1.7 kJ/mol

    (b) 0.000 27 atm

    Step 3:

    ΔG = RT * ln (Pt / Pi)

    ⇒with R = 8.314 J/K * mol

    ⇒with T = 293K

    ⇒with Pt = final pressure = 1.97385 atm

    ⇒with Pi = the initial pressure = 0.00027 atm

    ΔG = 8.314 J/mol*K * 293 K * ln (1.97385/0.00027)

    ΔG = 8.314 J/mol*K * 293 K * 8.897

    ΔG = 21673.3 J/mol = 21.7 kJ/mol
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Calculate the change in molar Gibbs energy of carbon dioxide (treated as a perfect gas) at 20°C when its pressure is changed isothermally ...” in 📗 Chemistry if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers