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Stoichiometry & the Mole: Counting Atoms by Weighing Them

Understand the mole, molar mass, and stoichiometry — using balanced equations and mole ratios to relate amounts of reactants and products — the chemistry background for ACT Science.

The Short Version

  • A mole is a fixed count of particles: 6.02 × 10²³ (Avogadro's number).
  • Molar mass (grams per mole) comes from the periodic table; it converts grams ↔ moles.
  • A chemical equation must be balanced — the same atoms on both sides.
  • The coefficients give mole ratios that relate reactants and products. ACT Science / chemistry background.

You can't count atoms one by one — a speck of matter holds trillions upon trillions. So chemists use the mole, a counting unit like a "dozen" but vastly larger, to handle atoms in practical amounts. Combined with a balanced chemical equation, the mole lets you do something powerful: predict exactly how much product a reaction will yield from a given amount of reactant. That predictive bookkeeping is stoichiometry.

This guide builds from the mole through balanced equations and mole ratios, with worked and practice questions matched to the level seen in ACT Science and chemistry at Northside Tutoring.

Why Stoichiometry Matters

Stoichiometry is the quantitative heart of chemistry and appears in ACT Science chemistry passages, often as a calculation or a proportion. The reasoning is really applied ratios. (The SAT has no science section.)

The Mole: A Chemist's Dozen

A mole is simply a count: one mole is 6.02 × 10²³ particles (Avogadro's number). Just as "a dozen" always means 12, "a mole" always means that many atoms or molecules. It's the bridge between the atomic scale and amounts we can weigh.

Molar Mass

The molar mass of a substance is its mass in grams per mole, and it's read straight off the periodic table: an element's atomic mass in grams is one mole of it. Carbon's atomic mass is about 12, so one mole of carbon weighs about 12 grams. Molar mass converts between grams and moles:

moles = grams ÷ molar mass

Balancing Equations

Matter is conserved, so a chemical equation must have the same number of each atom on both sides. You balance by adjusting the coefficients (the numbers in front), never the subscripts. For example:

2H₂ + O₂ → 2H₂O

Now there are 4 hydrogen and 2 oxygen atoms on each side — balanced.

Mole Ratios

Once balanced, the coefficients give you mole ratios — the recipe for the reaction. In 2H₂ + O₂ → 2H₂O, the ratio of hydrogen to water is 2:2 (or 1:1), and oxygen to water is 1:2. These ratios let you convert moles of one substance into moles of another.

Coefficients are the recipe

Think of a balanced equation like a recipe: "2 cups H₂ plus 1 cup O₂ makes 2 cups H₂O." The coefficients tell you the proportions, and stoichiometry just scales the recipe up or down.

A Stoichiometry Strategy

  1. Balance the equation.
  2. Convert the given amount to moles (grams ÷ molar mass).
  3. Use the mole ratio from the coefficients to find moles of the target.
  4. Convert back to grams if needed (moles × molar mass).

Where You'll See This — Test by Test

Stoichiometry supports ACT Science chemistry passages; the SAT has no science section and the SSAT doesn't test it. It's core high-school and AP Chemistry.

Watch the Lesson

Sometimes a diagram needs a voice. In the short video below, one of our Northside tutors walks through the core idea and works through test-style problems in real time.

Video Lesson

The Mole & Stoichiometry — In Plain English

A live walkthrough from our tutoring team.

Today's lesson: Balance the equation; use the mole ratio. • Concept, explained simply • Two worked test problems • The shortcut graders look for

— Featuring a Northside Tutoring instructor

Worked Example Problems

These problems are calibrated to the difficulty you'll actually see on test day. Try each one before opening the solution.

1
Chemistry · ACT

How many particles are in one mole?

Show solution

6.02 × 10²³ (Avogadro's number).

Answer: 6.02 × 10²³
2
Chemistry · ACT

Carbon has a molar mass of 12 g/mol. How many moles are in 36 g of carbon?

Show solution

moles = grams ÷ molar mass = 36 ÷ 12 = 3 moles.

Answer: 3 moles
3
Chemistry · ACT

Balance: H₂ + O₂ → H₂O.

Show solution

2H₂ + O₂ → 2H₂O — 4 H and 2 O on each side.

Answer: 2H₂ + O₂ → 2H₂O
4
Chemistry · ACT

In 2H₂ + O₂ → 2H₂O, how many moles of water form from 4 moles of H₂?

Show solution

The H₂:H₂O ratio is 2:2 (1:1), so 4 moles H₂ → 4 moles H₂O.

Answer: 4 moles
5
Chemistry · ACT

When balancing, may you change subscripts?

Show solution

No — only change the coefficients. Changing subscripts changes the substance itself.

Answer: No — only coefficients

Common Mistakes to Avoid

Three points students often miss

  • Changing subscripts to balance. Only adjust coefficients — changing a subscript changes the compound.
  • Skipping the balance step. Mole ratios come from the balanced coefficients; an unbalanced equation gives wrong ratios.
  • Forgetting to convert grams to moles. Stoichiometry works in moles — convert with molar mass first.

Practice Problems — You Try

Three problems below. Work each before checking the solution.

P1
Practice

How many moles are in 40 g of a substance with molar mass 20 g/mol?

Show solution

40 ÷ 20 = 2 moles.

Answer: 2 moles
P2
Practice

Balance: N₂ + H₂ → NH₃.

Show solution

N₂ + 3H₂ → 2NH₃ (2 N and 6 H on each side).

Answer: N₂ + 3H₂ → 2NH₃
P3
Practice — Challenge

In N₂ + 3H₂ → 2NH₃, how many moles of NH₃ form from 6 moles of H₂?

Show solution

The H₂:NH₃ ratio is 3:2. So 6 moles H₂ × (2/3) = 4 moles NH₃.

Answer: 4 moles

The Northside Method — How We Teach This 1-on-1

Reading a blog is a great starting point. But there's a meaningful gap between understanding a concept and reflexively applying it under timed conditions. That gap is exactly what our tutors close.

Every Northside student works through a four-step framework:

  1. Assessment. We diagnose which specific skills are slowing your student down — not just whether they "get it" in the abstract.
  2. Perfect-match coach. We pair them with an elite tutor (we accept only the top 1% of applicants) whose teaching style fits how your student actually learns.
  3. Bespoke plan. A roadmap built around your student's target score, target timeline, and current pacing data.
  4. Data-driven adjustment. Every session ends with a check on whether the student's accuracy and speed are moving in the right direction.

And if a student meets all eligibility requirements but doesn't hit the defined score improvement? We provide 5 additional hours of cohort learning at no cost. That's the Northside guarantee — built on 25 years of measured outcomes.

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