🤓 Based on our data, we think this question is relevant for Professor Velazquez Mojica's class at UCD.

We are asked to calculate the mass of urea is produced per minute by this reaction assuming 100% yield

2NH_{3}(*g*) + CO_{2}(*g*) → H_{2}NCONH_{2}(*s*) + H_{2}O(*g*)

Step 1. Calculate moles per minute of each

NH_{3}

$\overline{){\mathbf{PV}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{nRT}}}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\frac{\mathbf{PV}}{\mathbf{RT}}\mathbf{}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\frac{(90\overline{)\mathrm{atm}})(500\overline{)L})}{(0.08206{\displaystyle \frac{\overline{)L}-\overline{)\mathrm{atm}}}{\mathrm{mol}-\overline{)K}}})(223+273.15)\overline{)\mathbf{K}}}\mathbf{}$

**n = 1105.27 mol/min NH _{3}**

CO_{2}

$\overline{){\mathbf{PV}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{nRT}}}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\frac{\mathbf{PV}}{\mathbf{RT}}\mathbf{}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\frac{\mathbf{(}\mathbf{45}\mathbf{}\overline{)\mathbf{atm}}\mathbf{)}\mathbf{(}\mathbf{600}\mathbf{}\overline{)\mathbf{L}}\mathbf{)}}{\mathbf{(}\mathbf{0}\mathbf{.}\mathbf{08206}\mathbf{}{\displaystyle \frac{\overline{)L}-\overline{)\mathrm{atm}}}{\mathrm{mol}-\overline{)K}}}\mathbf{)}\mathbf{(}\mathbf{223}\mathbf{+}\mathbf{273}\mathbf{.}\mathbf{15}\mathbf{)}\overline{)\mathbf{K}}}\mathbf{}$

**n = 663.16 mol/min CO _{2}**

Step 2. Simultaneously calculate the theoretical yield and identify the limiting reactant.

Use both to calculate for H_{2}NCONH_{2}

Molar mass H_{2}NCONH_{2 }= 60.07 g/mol

Urea (H_{2}NCONH_{2}) is used extensively as a nitrogen source in fertilizers. It is produced commercially from the reaction of ammonia and carbon dioxide:

2NH_{3}(*g*) + CO_{2}(*g*) H_{2}NCONH_{2}(*s*) + H_{2}O(*g*)

Ammonia gas at 223°C and 90. atm flows into a reactor at a rate of 500. L/min. Carbon dioxide at 223°C and 45 atm flows into the reactor at a rate of 600. L/min. What mass of urea is produced per minute by this reaction assuming 100% yield?