Billions of pounds of urea are produced annually for use as a fertilizer
The reaction used is
2NH3+CO2=CO(NH2)2+H2O
The typical starting mixture has 3:1 mole ratio of NH3 to CO2 .If 47.7grams urea form per mole of CO2 that reacts what is the
A:Theoretical yield
B:Actual yield
theoretical yield is 1 mol urea for 1 mol CO2. Theoretical yield of urea is 60 g for 1 mol CO2. Actual yield is 47.7/60. Multiply by 100 to convert to %yield.
Answer
To find the theoretical and actual yield of urea, we need to follow a step-by-step approach.
Step 1: Calculate the number of moles of CO2.
Given that the mole ratio of NH3 to CO2 is 3:1, we can assume that the number of moles of CO2 is equal to 1/3 of the number of moles of NH3. The starting mixture has a 3:1 mole ratio of NH3 to CO2.
Let's assume the starting mixture contains 3 moles of NH3. Therefore, the number of moles of CO2 will be 1/3 * 3 = 1 mole.
Step 2: Calculate the theoretical yield of urea.
According to the given information, 47.7 grams of urea form per mole of CO2 that reacts.
Since we have 1 mole of CO2, the theoretical yield of urea can be calculated as follows:
Theoretical yield = 47.7 grams/mole * 1 mole = 47.7 grams.
Step 3: Calculate the actual yield of urea.
The actual yield is the quantity of urea actually obtained from the reaction. This value can't be calculated from the given information. It needs to be determined experimentally.
Therefore, we can conclude that:
A: The theoretical yield of urea is 47.7 grams.
B: The actual yield of urea is unknown and needs to be determined experimentally.
To determine the theoretical yield and actual yield, we need to follow a step-by-step approach using the given information.
Step 1: Calculate the number of moles of CO2
Given the 3:1 mole ratio of NH3 to CO2, we can assume that for every 3 moles of NH3, there is 1 mole of CO2. Therefore, the number of moles of CO2 can be calculated as follows:
Moles of CO2 = (moles of NH3) / 3
Step 2: Calculate the theoretical yield
The stoichiometric ratio states that for every mole of CO2 that reacts, 47.7 grams of urea form. Thus, the theoretical yield can be calculated as follows:
Theoretical yield = (moles of CO2) × (molar mass of urea)
The molar mass of urea (CO(NH2)2) can be calculated by adding the atomic masses of carbon (C), nitrogen (N), and hydrogen (H).
Step 3: Calculate the actual yield
The actual yield is the amount of urea that is obtained in practice through experimental means. It might be given directly or can be determined by conducting the actual reaction and measuring the amount of urea obtained.
Please let me know if you have the actual yield or any other information related to the experiment, so I can help you calculate it.