
Jacob K. answered 10/16/23
Experienced Tutor Specialized in Biochemical Sciences
Explanation:
When calculating percent yield, it is helpful to approach the problem in a calculated manner. While first learning, always write out the given information and think about what pieces are missing.
First, determine the balanced chemical equation of the items that you are working with. In this case, we know that sulfur and copper are heated to form copper (I) sulfide. From that balanced chemical equation, we learn the ratio between products and reactants. In this case, the ratio of copper and copper (I) sulfide is 2:1.
To calculate percent yield, we need both theoretical yield and the actual yield. We are only given the actual yield in this problem, thus we need to calculate the theoretical yield. To do such, we start with the known amount of copper and use basic stoichiometry to arrive to grams of Cu2S. Recall that theoretical yield basically represents the maximum product formation possible based on the limiting reactant. So percent yield is a measure of how successful a given reaction was performed. In this case, our answer was 48.8% (Ensure answer is rounded to 3 sig-figs).
Work:
Balanced Chemical Equation:
2 Cu + S ---> Cu2S
Theoretical Yield:
(0.0970 moles Cu) (1 mole Cu2S) (159.16 grams Cu2S)
------------------------ x -------------------- x --------------------------------- = 7.72 g Cu2S
(2 mole Cu) (1 mole Cu2S)
Actual Yield:
3.77 g Cu2S
Percent Yield:
Actual Yield 3.77 g Cu2S
Percent yield = ------------------------ x 100 = -------------------- x 100 = 48.8%
Theoretical Yield 7.72 g Cu2S
Final Answer = 48.8% Yield