Urea (CH4N2O) is a common fertilizer that can be synthesized by the reaction of ammonia (NH3) with carbon dioxide as follows: 2NH3(aq)+CO2(aq)→CH4N2O(aq)+H2O(l)In an industrial synthesis of urea, a chemist combines 137.2 kg of ammonia with 211.4 kg of carbon dioxide and obtains 164.6 kg of urea. What is the theoretical yield in kilograms?

Question
Asked Mar 30, 2019

Urea (CH4N2O) is a common fertilizer that can be synthesized by the reaction of ammonia (NH3) with carbon dioxide as follows: 2NH3(aq)+CO2(aq)→CH4N2O(aq)+H2O(l)In an industrial synthesis of urea, a chemist combines 137.2 kg of ammonia with 211.4 kg of carbon dioxide and obtains 164.6 kg of urea. What is the theoretical yield in kilograms?

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Expert Answer

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Step 1

Theoretical yield of Urea can be calculated as


(137.2 kg NH3) / (17.04 g NH3/mol) = 8.0516 kmol NH3

(211.4 kg CO2) / (44.01 g CO2/mol) = 4.80345 kmol CO2

Step 2

8.0516 kilomoles of NH3 would react completely with 8.00469 x (1/2) = 4.002345 kilomoles of

CO2, but there is more CO2 present th...

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