of
is produced by the reaction of 5.14 g of methane with an excess of chlorine.
Further explanation:
Stoichiometry of a reaction is used to determine the amount of species present in the reaction by the relationship between the reactants and products. It can be used to determine the moles of a chemical species when the moles of other chemical species present in the reaction is given.
Consider the general reaction,
![{\text{A}} + 2{\text{B}}\to3{\text{C}}](https://tex.z-dn.net/?f=%7B%5Ctext%7BA%7D%7D%20%2B%202%7B%5Ctext%7BB%7D%7D%5Cto3%7B%5Ctext%7BC%7D%7D)
Here,
A and B are reactants.
C is the product.
One mole of A reacts with two moles of B to produce three moles of C. The stoichiometric ratio between A and B is 1:2, the stoichiometric ratio between A and C is 1:3 and the stoichiometric ratio between B and C is 2:3.
Limiting reagent:
A limiting reagent is the one that is completely consumed in a chemical reaction. The amount of product formed in any chemical reaction has to be in accordance with the limiting reagent of the reaction. The amount of product depends on the amount of limiting reagent since the product formation is not possible in the absence of it.
The given reaction occurs as follows:
![{\text{C}}{{\text{H}}_4}\left(g\right) + 4{\text{C}}{{\text{l}}_2}\left(g\right)\to{\text{CC}}{{\text{l}}_4}\left(g\right)+4{\text{HCl}}\left(g\right)](https://tex.z-dn.net/?f=%7B%5Ctext%7BC%7D%7D%7B%7B%5Ctext%7BH%7D%7D_4%7D%5Cleft%28g%5Cright%29%20%2B%204%7B%5Ctext%7BC%7D%7D%7B%7B%5Ctext%7Bl%7D%7D_2%7D%5Cleft%28g%5Cright%29%5Cto%7B%5Ctext%7BCC%7D%7D%7B%7B%5Ctext%7Bl%7D%7D_4%7D%5Cleft%28g%5Cright%29%2B4%7B%5Ctext%7BHCl%7D%7D%5Cleft%28g%5Cright%29)
It is given that chlorine is present in an excess amount so methane
is a limiting reagent and therefore it controls the amount of
produced during the reaction.
The formula to calculate the amount of
is as follows:
…… (1)
The given mass of
is 5.14 g.
The molar mass of
is 16.04 g/mol.
Substitute these values in equation (1).
![\begin{aligned}{\text{Amount of C}}{{\text{H}}_4} &= \left({{\text{5}}{\text{.14 g}}}\right)\left({\frac{{{\text{1 mol}}}}{{{\text{16}}{\text{.04 g}}}}}\right)\\ &= 0.32044\\&\approx{\mathbf{0}}{\mathbf{.320 mol}}\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BAmount%20of%20C%7D%7D%7B%7B%5Ctext%7BH%7D%7D_4%7D%20%26%3D%20%5Cleft%28%7B%7B%5Ctext%7B5%7D%7D%7B%5Ctext%7B.14%20g%7D%7D%7D%5Cright%29%5Cleft%28%7B%5Cfrac%7B%7B%7B%5Ctext%7B1%20mol%7D%7D%7D%7D%7B%7B%7B%5Ctext%7B16%7D%7D%7B%5Ctext%7B.04%20g%7D%7D%7D%7D%7D%5Cright%29%5C%5C%20%26%3D%200.32044%5C%5C%26%5Capprox%7B%5Cmathbf%7B0%7D%7D%7B%5Cmathbf%7B.320%20mol%7D%7D%5C%5C%5Cend%7Baligned%7D)
From the balanced chemical reaction, it is clear that 1 mole of
produces 1 mole of
.
So the amount of
is equal to that of
and thus the amount of
is 0.320 mol.
The formula to calculate the mass of
is as follows:
![{\text{Mass of CC}}{{\text{l}}_4} = \left( {{\text{Moles of CC}}{{\text{l}}_4}}\right)\left({{\text{Molar mass of CC}}{{\text{l}}_4}}\right)](https://tex.z-dn.net/?f=%7B%5Ctext%7BMass%20of%20CC%7D%7D%7B%7B%5Ctext%7Bl%7D%7D_4%7D%20%3D%20%5Cleft%28%20%7B%7B%5Ctext%7BMoles%20of%20CC%7D%7D%7B%7B%5Ctext%7Bl%7D%7D_4%7D%7D%5Cright%29%5Cleft%28%7B%7B%5Ctext%7BMolar%20mass%20of%20CC%7D%7D%7B%7B%5Ctext%7Bl%7D%7D_4%7D%7D%5Cright%29)
…… (2)
The number of moles of
is 0.320 mol.
The molar mass of
is 153.82 g/mol.
Substitute these values in equation (2).
![\begin{gathered}{\text{Mass of CC}}{{\text{l}}_4} = \left({{\text{0}}{\text{.320 mol}}}\right)\left({\frac{{{\text{153}}{\text{.82 g}}}}{{{\text{1 mol}}}}}\right)\\ = {\mathbf{49}}{\mathbf{.224 g}}\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%7B%5Ctext%7BMass%20of%20CC%7D%7D%7B%7B%5Ctext%7Bl%7D%7D_4%7D%20%3D%20%5Cleft%28%7B%7B%5Ctext%7B0%7D%7D%7B%5Ctext%7B.320%20mol%7D%7D%7D%5Cright%29%5Cleft%28%7B%5Cfrac%7B%7B%7B%5Ctext%7B153%7D%7D%7B%5Ctext%7B.82%20g%7D%7D%7D%7D%7B%7B%7B%5Ctext%7B1%20mol%7D%7D%7D%7D%7D%5Cright%29%5C%5C%20%3D%20%7B%5Cmathbf%7B49%7D%7D%7B%5Cmathbf%7B.224%20g%7D%7D%5C%5C%5Cend%7Bgathered%7D)
Therefore, the mass of
produced is 49.224 g.
Learn more:
1. Calculate the moles of chlorine in 8 moles of carbon tetrachloride: <u>brainly.com/question/3064603
</u>
2. How many grams of potassium were in the fertilizer? <u>brainly.com/question/5105904
</u>
Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Mole concept
Keywords: stoichiometry, reactant, product, limiting reagent, CCl4, CH4, Cl2, molar mass, given mass, amount of CH4, amount of CCl4, 49.224 g, mass of CCl4, 4Cl2, 4 HCl, 5.14 g, 16.04 g/mol.