When urea (CO(NH2)2) (∆Hf
o = -319.2 kJ/mole) reacts with liquid water, the products are
aqueous carbon dioxide and aqueous ammonia. What is amount of heat (kJ)produced/absorbed when 35.00 g of urea reacts with excess liquid water?
CO(NH2)2 + H2O 2NH3 + CO2
Molar mass of CO(NH2)2 = 60.06 g/mol
So, 60.06 g of CO(NH2)2 = 1 mol
35.00 g of CO(NH2)2 = (35.00 / 60.06) mol = 0.583 mol
Hfo (CO(NH2)2) = - 319.2 kJ/mole
1 mole of (CO(NH2)2) formation produces = - 319.2 kJ
0.583 mole of (CO(NH2)2) formation produces = (0.583) (- 319.2 kJ) = - 186.09 kJ
When the reaction for the formation is identical to the reverse of the reaction for decomposition then the heat of formation of a compound is equal, but of opposite sign for the heat of decomposition.
So, decomposition of urea = + 186.09 kJ.
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