In: Chemistry
One of the intermediates in the synthesis of glycine from ammonia , carbondioxide and methane is aminoacetonitrile C2H4N2. The balanced chemical equation is 3CH4+5 CO2 + 8NH3 ---> 4C2H4N2 +10H2O. How much C2H4N2 could be expected from the reaction of 13.2 g CO2, 2.18 g NH3 and 17.0 g CH4
molar mass CH4 = 16
molar mass CO2 = 44
molar mass NH3 = 17
mass of CO2 = 13.2 g
mass of NH3 = 2.18 g
mass of CH4 = 17 g
moles = mass / molar mass
moles of co2 = 13.2 /44 =0.3 moles
moles of Ch4 = 17 / 16 = 1.0625 moles
moles of NH3 = 2.18 / 17 = 0.128 moles
3 CH4+5 CO2 + 8 NH3 ---> 4 C2H4N2 +10 H2O
calculate the moles needed per reactant to find the limiting reactant:
0.3 moles of CO2 will require:
moles of CH4; 5 moles of CO2 will react with 3 moles of methane
0.3 moles of CO2 x 3 moles methane/5 moles CO2 = 0.18 moles of CH4
moles of NH3; 5 moles of CO2 will react with 8 moles of NH3
0.3 moles of CO2 x 8 moles NH3 / 5 moles CO2 = 0.48 moles of NH3
In this case The ammonia is not enough to react with all the co2,
Make calculations for ammonia:
moles of ammonia = 0.128 moles
calculate moles of methane, 3 moles of methane require 8 moles of ammonia
0.128 moles of ammonia x 3 moles of methane / 8 moles of ammonia
moles of methane = 0.128 * 3 / 8 = 0.048 moles of methane
since there is enough methane then we can say that ammonia is the limiting reactant so stoichiometrical calculations must be done considering the compound:
moles of ammonia = 0.128 moles
moles of CO2 = 0.128 moles of nh3 * 5 moles of co2 / 8 moles ammonia = 0.128*5/8 = 0.08 moles of CO2
moles of methane = 0.128 moles of nh3 * 3 moles of CH4 / 8 moles of NH3 = 0.048 moles of methane
now calculate the ammount of aminoacetonitrile:
8 moles of ammonia produce 4 moles of acetonitrile:
moles of acetonitrile = 0.128 * 4 / 8 = 0.064 moles of aminoacetonitrile
molar mass of aminoacetonitrile is 56.066 g/mol
mass = moles * molar mass = 0.064 * 56.066 = 3.59 grams of aminoacetonitrile
*hope this helps =)