For the equations in problem 9.4, write the setup with the...

For the equations in problem $9.4$, write the setup with the correct mole-mole factor:
a. moles of $\mathrm{AlCl}_{3}$ from the moles of $\mathrm{Cl}_{2}$
b. moles of $\mathrm{O}_{2}$ needed to react with moles of $\mathrm{HCl}$

Key Concepts

Mole-to-Mole Conversion Factor

The mole-to-mole conversion factor is derived from the coefficients of a balanced chemical equation and is used to relate the number of moles of one substance to the number of moles of another. This ratio is used as a conversion factor in dimensional analysis to ensure that appropriate units cancel out, leaving the desired unit in the final result.

Dimensional Analysis

Dimensional analysis is a systematic approach used to convert units by multiplying by conversion factors that cancel out unwanted units. In stoichiometry, it is essential for transforming quantities from one unit to another, such as converting moles of one substance to moles of another based on the mole-to-mole conversion factor.

Balanced Chemical Equation

A balanced chemical equation represents a chemical reaction with equal numbers of atoms for each element on both sides of the equation, adhering to the law of conservation of mass. The coefficients in the equation indicate the exact proportions in which reactants combine and products form.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the calculation of the quantities of reactants and products involved in a chemical reaction. It uses the relationships provided by a balanced chemical equation to determine how much of each substance is required or produced.

Transcript

00:01 Okay, so this question is asking us about mole -mole factors and how you actually utilize those mole -mole factors in calculating chemical equations and stuff.

00:11 So actually, we need to refer back to some equations that they previously gave us that i will write down here.

00:18 So it's in two parts.

00:19 So part a is asking us about this equation, which is two aluminum solid and is reacting with.

00:32 Chlorine gas, and that's going to two aluminum chloride, also a solid.

00:42 Okay, so remember a mole -mole factor is just a ratio between the moles in a given equation.

00:49 The equation needs to be balanced.

00:50 All we do is look at the coefficients.

00:52 And so this one is asking us about the moles of aluminum chloride and the moles of chlorine gas.

00:58 And so those are the only two numbers we're going to look at is this is three and this two.

01:01 So to write the mole -mull factor, we're just going to look at those numbers, pull them, and just write ratios.

01:06 So three moles of chlorine corresponds to two moles of aluminum chloride.

01:17 I just grabbed those numbers straight from the balanced equation that was given.

01:21 Make sure it's balanced.

01:23 And since it is a ratio, you can go ahead and flip it.

01:26 So two moles of aluminum chloride corresponds to three moles of chlorine.

01:36 So that would be the mold of mole factor between chlorine gas and aluminum chloride.

01:41 And so it's asking us how you would use these mole to mole factors and finding the moles of aluminum chloride from the moles of chlorine gas.

01:49 And so they give us the moles of chlorine.

01:52 They're saying that that is what you're starting with.

01:55 And so in order to utilize this, you can imagine like this is over one...

Please give Ace some feedback