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Calculate the change in molar Gibbs energy of carbon dioxide (treated as a perfect gas) at 20°C

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, (b) 0.00027 atm, its partial pressure in air.

Solutions

Expert Solution

Solution : Calculate the change in molar Gibbs energy of carbon dioxide

a. From 1.0 bar to 2.0 bar

By the formula ΔGm = RT ln(Pf/Pi) (perfect gas).

 

Parameter Value
R 8.314 J/molK
T 293 K
Pf 2.0 bar = 2 x 105 Pa
Pi 1.0 bar = 1 x 105 Pa

 

Then ΔGm = 8.314 x 293 x ln(2 x 105/1 x 105) = 1680.84 J/mol

 

Therefore, The change in molar Gibbs energy is ΔGm = 1680.84 J/mol

 

b. From 1 bar to 0.00027 atm

From the formula ΔGm = RT ln(Pf/Pi) (perfect gas).

 

Parameter Value
R 8.314 J/molK
T 293 K
Pf 0.00027 atm = 25 Pa
Pi 1.0 bar = 105 Pa

 

Then ΔGm = 8.314 x 293 x ln(25/105) = -4165.56 J/mol

 

Therefore, The change in molar Gibbs energy is ΔGm = -4165.56 J/mol

 

a. Therefore, ΔGm = 1680.84 J/mol

b. Therefore, ΔGm = -4165.56 J/mol

SUN BUNRA answered 1 year ago
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