The change in entropy in the system in J/k when 24.1 grams of C₂Cl₃F₃ vaporizes to a gas at the normal boiling point is 11J/K.
Change in entropy of the system will be calculated from the below formula:
ΔG = ΔH - TΔS, where
ΔG = Gibb's free energy = 0
ΔH = molar enthalpy of C₂Cl₃F₃ = 27.49 kJ/mol = 27490 J/mol
T = temperature = 47.6° C = 320.6 K
ΔS = change in entropy = to find?
For the calculation first we have to find the moles of 24.1g of C₂Cl₃F₃ because in system only 1 mole of the substance is not present. So,
Moles (n) = 24.1g / 187.3764g/mol = 0.129 moles
Now we calculate the change in entropy of the system by putting all the above values in the below equation as:
ΔS = n.ΔH / T
ΔS = 0.129mol × 27490J/mol / 320.6 K = 11J/K.
Hence, the change in entropy of the system is 11J/K.
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