For the chemical equations in problem 9.3, write the problem...

For the chemical equations in problem $9.3$, write the problem setup with the correct mole-mole factor needed to find each of the following:
a. moles of $\mathrm{SO}_{3}$ from the moles of $\mathrm{SO}_{2}$
b. moles of $\mathrm{O}_{2}$ needed to react with moles of $\mathrm{P}$

Key Concepts

Mole-to-Mole Conversions

Mole-to-mole conversions use the coefficients from the balanced chemical equation to convert between the moles of different substances in a reaction. This technique is pivotal in determining how much of one reactant is required to react with a given amount of another substance, or how much product is formed.

Dimensional Analysis

Dimensional analysis is a systematic approach used to convert between units using conversion factors. In the context of stoichiometry, it ensures that the mole ratios are applied correctly by canceling out units step-by-step, thereby verifying the validity of the calculation.

Stoichiometry

Stoichiometry involves using the quantitative relationships between the amounts of reactants and products in chemical reactions. It relies on the mole-to-mole ratios provided by the balanced chemical equation and is essential for converting amounts of one substance to another.

Balanced Chemical Equation

A balanced chemical equation is one in which the number of atoms for each element is equal on both the reactants and products sides. This balance provides the necessary coefficients that serve as mole-mole factors in stoichiometric calculations.

Transcript

00:01 All right, so this question is asking us about mole -mole factors and then how to set them up and actually use them.

00:09 So it's asking us, how are we going to find the number of moles of so3 from the moles of so2? so we need to actually refer back to a separate problem from this.

00:19 So the reaction that it is referring to is 2, so2, and oxygen goes to 2, s -o -3, also of it.

00:36 Yes, form.

00:37 Okay.

00:38 So first off, we need to find, since it is asking about the moles between so3 and so2, we need to find the mole -mole factor between that.

00:45 So to find the mole -mol factor, we just look at the coefficients in front of the molecules.

00:50 So we see that two moles of so -2 goes to two moles of so -3.

01:01 And we can actually flip that since it is just a ratio.

01:04 So two moles of s .o .3 goes to two moles s .o .2.

01:12 All right.

01:13 So now i was asking us, how are we going to find the moles of s .o .3 from the moles of s .o .2? so that means that starting off, we have the moles of s .o .2 given to us through maybe a separate problem or whatever.

01:25 And it wants us to be able to say, how are you going to find the moles of s .o .3? so to do that, we're going to use one of our mole -to -mole ratios, or multiple -mult factors.

01:36 So since so -2, technically, this would be over 1.

01:39 We can think of it like that.

01:41 So technically, since this is on top, in order to cancel out, we're going to use the one where so -2 is on the bottom.

01:47 So we're going to do two moles of so3 to two moles of so2.

01:58 So since this is on top, this is on bottom, these actually cancel out.

02:02 Out and what we would be left within is the, is the open not two.

02:07 But what would we be left within is the moles of so3.

02:13 That is the unit that would be left...