CaCO3 → CaO + CO2 Calculate the theoretical yield of Calcium Oxide if 24.8 grams of Calcium Carbonate decomposes. Calculate the percent yield if you got 13.1 grams in the laboratory.

Respuesta :

Answer:

Theoretical yield: 13.9 g

Percent yield: 94 %

Explanation:

The reaction is:

CaCO₃ → CaO + CO₂

We see that the reaction is correctly balanced.

1 mol of calcium carbonate can decompose to 1 mol of calcium oxide and 1 mol of carbon dioxide.

We convert the mass to moles: 24.8 g . 1mol / 100.08g = 0.248 moles

As ratio is 1:1, 0.248 moles of salt can decompose to 1 mol of oxide.

We convert the moles to mass: 0.248 mol . 56.08g /1mol = 13.9 g

That's the theoretical yield.

To determine the percent yield we think:

(Determined yield / Theoretical yield) . 100 → (13.1 / 13.9) . 100 = 94 %

The percent yield of Calcium oxide formed from calcium carbonate is 94 %.

How we calculate the percent yield?

Percent yield of any substance will be calculated as:

% yield = (Actual yield / Theoretical yield) × 100%

Given chemical reaction is:

CaCO₃ → CaO + CO₂

From the stoichiometry of the reaction, it is clear that moles of produced calcium oxide and reacted calcium carbonate is same i.e. they have 1:1 moles ratio.

Now we calculate the moles of CaCO₃ by using the below formula:

n = W/M, where

W = given mass = 24.8 grams

M = molar mass = 100.08g

Moles of CaCO₃ = 24.8 / 100.08 = 0.248 moles

So, produced moles of CaO is also = 0.248 moles

Now we calculate the mass of CaO by using the formula as:

W = n × M

Mass of CaO = 0.248mole × 56.08g /mole = 13.9 g

Given actual yield of CaO = 13.1 grams

Now we put required values on the % yield equation and we get:

% yield = (13.1/13.9) × 100 = 94%

Hence, 94% is the percent yield of CaO.

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