Question

each week capechem, a manufacturer of fine chemicals, uses up 1000. kg of compound a and 900. kg of compound b in a reaction with only one product, compound c.
what is the maximum theoretical mass of compound c that capechem could ship each week?
round your answer to the nearest kilogram.
suppose on average the percent yield of c in capechems reactors is 84.%. calculate the average amount of compound c that capechem actually ships each week.
round your answer to the nearest kilogram.

Explanation:

Step1: Calculate the maximum theoretical mass of Compound C

According to the law of conservation of mass, the mass of reactants equals the mass of products.
The mass of reactants is \(m = 1000\space kg+900\space kg\)

$$m = 1900\space kg$$

Step2: Calculate the actual mass of Compound C

The percent - yield formula is \(\text{Percent Yield}=\frac{\text{Actual Yield}}{\text{Theoretical Yield}}\times100\%\)
We know that \(\text{Percent Yield} = 84\%\) and \(\text{Theoretical Yield}=1900\space kg\)
Let the actual yield be \(x\). Then \(84\%=\frac{x}{1900}\times 100\%\)

$$x=\frac{84\times1900}{100}$$

$$x = 1596\space kg$$

Answer:

1900 kg
1596 kg