Question

each week capechem, a manufacturer of fine chemicals, uses up 350 kg of compound a and 950 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 58. %. calculate the average amount of compound c that capechem actually ships each week.
round your answer to the nearest kilogram.

Explanation:

Step1: Apply law of conservation of mass

According to the law of conservation of mass, in a chemical reaction where only one - product is formed from two reactants, the mass of the product is equal to the sum of the masses of the reactants.
$m_{C_{theoretical}}=m_A + m_B$

Step2: Calculate theoretical mass of Compound C

Given $m_A = 350$ kg and $m_B=950$ kg.
$m_{C_{theoretical}}=350 + 950=1300$ kg

Step3: Calculate actual mass of Compound C

The percent - yield formula is $\text{Percent Yield}=\frac{\text{Actual Yield}}{\text{Theoretical Yield}}\times100\%$. We know the percent yield is $58\%$ and the theoretical yield $m_{C_{theoretical}} = 1300$ kg. Let the actual yield be $m_{C_{actual}}$.
$58\%=\frac{m_{C_{actual}}}{1300}\times100\%$
$m_{C_{actual}}=\frac{58\times1300}{100}$
$m_{C_{actual}} = 754$ kg

Answer:

The maximum theoretical mass of Compound C: 1300 kg
The average amount of Compound C actually shipped: 754 kg