Urea ((NH 2 ) 2 CO) can be formed from ammonia and carbon dioxide as shown in th
ID: 1056124 • Letter: U
Question
Urea ((NH2)2CO) can be formed from ammonia and carbon dioxide as shown in the following reaction. The H° value for this synthesis is -134.0 kJ. Calculate the H°f for urea.
2NH3(g) + CO2(g) (NH2)2CO(s) + H2O(l)
Work backwards from the H° and the numerical data to derive the H°f of urea. Someone answered this and said it was 453.12 kJ/mol but it turned out incorrect.
9. The S° value for urea the synthesis reaction above is -424.0 J/K. Calculate S° for urea.
10. Calculate G° for the synthesis of urea under standard conditions (298 K and 1 atm).
Work backwards from the H° and the numerical data to derive the H°f of urea. Someone answered this and said it was 453.12 kJ/mol but it turned out incorrect.
Explanation / Answer
Q8
Hrxn = Hproducts - Hreactants
-134 = (-285.8 + H-urea ) -(2*-45.90 + -393.509)
solve for H-urea
H-urea = -134 + (2*-45.90 + -393.509) + 285.8 = -333.509 kJ/mol
Q9
dS = Sprod - Sreact = (Surea + 69.9) - (2*192.5 + 213.8) = -424
so
S-urea = -424 + (2*192.5 + 213.8) - 69.9 = 104.9 J/molK
Q10
dG = dH - T*dS = -333.509*10^3 - 298*104.9 = -364769.2J/mol = -364.77 kJ/mol
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