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Chromium metal can be produced by the reduction of Cr2O3 with elemental silicon: 2 Cr2 O3 + 3 Si...

Question:

Chromium metal can be produced by the reduction of Cr2O3 with elemental silicon:

2 Cr2 O3 + 3 Si --> 4 Cr + 3 SiO2

If 350.0 grams of Cr2O3 are reacted with 235.0 grams of elemental silicon and 213.2 grams of chromium metal are recovered, what is the percent yield?

Reaction Yield

The percentage yield is defined as the practical yield divided by theoretical yield multiplied by a hundred is called the percentage yield. Theoretical yield is determined from a balanced chemical equation, while actual yield is determined experimentally.

Answer and Explanation: 1

Below is the given balanced chemical equation:

{eq}2 Cr_2O_3 + 3 Si \rightarrow 4 Cr + 3 SiO_2 {/eq}

Below is the masses of components in the balanced chemical equation:

{eq}\\Cr_2O_3=304g \\Si=74g \\ Cr=208g {/eq}

Now,

304 g of Chromium oxide produces 208 g of Chromium metal,

350 g of Chromium oxide will produce {eq}\frac{208}{304} \times 350 \\ =239.5 g {/eq} of Chromium metal.

Now,

{eq}Percentage\,yield = \frac{Actual\,yield}{Theoretical\,yield} \times 100 {/eq}

Putting the values, we get

{eq}\\ Percentage\,yield = \frac{213.2}{239.5} \times 100 \\ Percentage\,yield = 89.02 \% {/eq}


Learn more about this topic:

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Calculating Reaction Yield and Percentage Yield from a Limiting Reactant

from

Chapter 9 / Lesson 6
52K

How to calculate the theoretical yield? Learn the definition and formula of percent yield. Use the theoretical yield equation to calculate theoretical yield.


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