# 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

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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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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