Fertilizer The compound calcium cyanamide ( CaNCN) is used...

Fertilizer The compound calcium cyanamide $($ CaNCN) is used as a nitrogen source for crops. To obtain this compound, calcium carbide is reacted with nitrogen at high temperatures. \begin{equation} \mathrm{CaC}_{2}(\mathrm{s})+\mathrm{N}_{2}(\mathrm{g}) \rightarrow \mathrm{CaNCN}(\mathrm{s})+\mathrm{C}(\mathrm{s}) \end{equation} What mass of CaNCN can be produced if 7.50 mol of CaC $_{2}$ reacts with 5.00 mol of $N_{2} ?$

Fertilizer The compound calcium cyanamide $($ CaNCN) is used as a nitrogen source for crops. To obtain this compound, calcium carbide is reacted with nitrogen at high temperatures.
\begin{equation}
\mathrm{CaC}_{2}(\mathrm{s})+\mathrm{N}_{2}(\mathrm{g}) \rightarrow \mathrm{CaNCN}(\mathrm{s})+\mathrm{C}(\mathrm{s})
\end{equation}
What mass of CaNCN can be produced if 7.50 mol of
CaC $_{2}$ reacts with 5.00 mol of $N_{2} ?$

Key Concepts

Molar Mass

Molar mass is the mass of one mole of a substance, measured in grams per mole (g/mol). It is used to convert between moles and mass, making it a key concept in stoichiometric calculations where quantities of substances are measured either by mass or number of moles.

Limiting Reagent

The limiting reagent is the reactant that is completely consumed first in a chemical reaction, thus determining the maximum amount of product that can be formed. Identifying the limiting reagent is crucial because it controls the extent of the reaction and ensures that excess reactants do not contribute to more product formation than theoretically possible.

Stoichiometry

Stoichiometry involves the quantitative relationships between reactants and products in a chemical reaction as given by the balanced equation. It is used to calculate how much product can be formed from given amounts of reactants by using the mole ratios found in the balanced chemical equation.

Balanced Chemical Equation

A balanced chemical equation represents the reaction with equal numbers of atoms for each element on both sides of the reaction. It is essential for stoichiometric calculations as it provides the mole ratios between reactants and products. Understanding this concept allows for proper scaling of the reaction quantities and accurate predictions of product amounts.

Transcript

00:01 We are given here the balanced equation for the reaction between calcium carbide and nitrogen, which produces calcium cyanamide and carbon.

00:36 We need to calculate the mass of calcium cyanamide that can be produced if you mixed 7 .5 moles of calcium carbide and 5 moles of nitrogen.

01:03 Okay? so first we need to know which of these two is the limited reaction because determining that will determine which one we're going to use to calculate the yield of calcium salient amide because the limiting region is the one that is going to be completely consumed and therefore determined the yield of the product.

01:35 For this we need to calculate the theoretical ratio.

01:41 We have one mole of calcium carbide reacting with one more of nitrogen.

01:51 So we have one mole of calcium carbide reacting with one mole of nitrogen therefore this ratio is one we compare this to the experimental ratio which is 7 .5 moles of calcium carbide two or mixed with five moles of nitrogen and this number obviously greater than 1 10 .5 divided by 5 is 1 .5 and what we conclude here is that the theoretical ratio is less than the experimental ratio.

02:46 If the experimental ratio is greater than the theoretical ratio, we need to decrease the experimental ratio.

02:54 We need to decrease this 1 .5 to make it closer or equal to 1.

02:59 In order to decrease 1 .5, we need to increase the numerator.

03:08 We need to make this new measure.

03:10 Sorry, we need to increase the denominator.

03:15 We need to make this denominator larger so that this number can be smaller...

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