Question #263516

When the reaction occurred, the amount of Ag-S obtained was 45.0g. What is the percent yield of the reaction

1
Expert's answer
2021-11-10T00:29:48-0500

A silver metal reacts with sulfur to form silver sulfide according to the following reaction:

2Ag(s) + S(s) → Ag2S(s)

Identify the limiting reagent if 50.0 g Ag reacts with 10.0 g S

When the reaction occurred, the amount of Ag-S obtained was 45.0g. What is the percent yield of the reaction?

M(Ag) = 107.86 g/mol

M(S) = 32.06 g/mol

n(Ag)=50.0107.86=0.463  moln(S)=10.032.06=0.312  moln(Ag) = \frac{50.0}{107.86} = 0.463 \;mol \\ n(S) = \frac{10.0}{32.06} = 0.312 \;mol

For each mole of S we need two moles of Ag, so Ag is limiting reactant.

According to the reaction:

n(Ag2S) =12n(Ag)=12×0.463=0.2315  mol= \frac{1}{2}n(Ag) = \frac{1}{2} \times 0.463 = 0.2315 \;mol

M(Ag2S) = 247.78 g/mol

m(Ag2S) =0.2315×247.78=57.36  g= 0.2315 \times 247.78 = 57.36 \;g

Proportion:

57.36 g – 100 %

45.0 g – x

x=45.0×10057.36=47.45  %x = \frac{45.0 \times 100}{57.36} = 47.45 \; \%

Answer: 47.45 %


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