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Lesson 1 of 14

Atomic Foundations of Matter · Lesson 1 of 14

Law of Conservation of Mass

Nothing vanishes in a reaction; the trick is making sure the whole system stays on the scale.

Learning Objectives

• Explain why mass remains unchanged during a physical change. • Compare open and closed reaction systems. • State and apply the Law of Conservation of Mass. • Explain why escaping gas can produce an apparent loss of measured mass. • Verify conservation using reactant and product masses. • Solve standard mass-conservation problems step by step.

When salt disappears into water, it can look as though the salt has ceased to exist. When vinegar reacts with baking soda, bubbles rush out and the mass shown on a balance can even appear to fall. These observations raise a basic question: during a change, is matter actually lost, or has it simply moved or changed form? Careful weighing gives a reliable way to answer that question.

Investigating a Physical Change

Consider a clean beaker containing water and a measured amount of common salt. Before the salt dissolves, the balance supports the beaker, the water and the salt. After swirling, the visible grains disappear because the salt becomes distributed through the water, but the same matter is still present in the beaker. The mass of the solution is therefore practically equal to the combined masses of water and salt taken initially.

The same reasoning applies if a piece of paper is weighed, torn into many pieces and weighed again without losing any pieces. The shape and size of the pieces have changed, but the amount of matter has not. A physical change may alter appearance, state or distribution without changing the total mass of the material being measured.

Activity: Investigating a Physical Change

Place water and common salt in a tared beaker, record the combined mass before dissolving, swirl until the salt dissolves, and record the mass again. The important observation is that dissolving changes the form of the sample but not its total measured mass.

Investigating a Chemical Change

A chemical change is more challenging because new substances can form. When baking soda reacts with vinegar or lemon juice, brisk effervescence occurs because carbon dioxide gas is produced. If the reaction takes place in an open flask, some of this gas leaves the flask and spreads into the surrounding air. A balance supporting only the flask and its remaining contents will then show a smaller final reading.

This smaller reading does not mean matter has been destroyed. It means part of the product has left the part of the system that is being weighed. To test conservation fairly, every reactant and every product must remain inside the measured system.

Open and Closed Systems

Definition
Open System

A reaction setup in which matter can enter or leave the part of the system being measured.

Definition
Closed System

A reaction setup arranged so that the substances involved in the reaction, including gases produced, remain within the measured system.

Open and Closed Reaction Systems Open System Gas can leave the measured system Closed System Gas remains inside the measured system A fair mass comparison must include every reactant and every product.
Open and closed reaction systemsThe open flask lets carbon dioxide leave. In the closed setup, the balloon traps the gas so it remains part of the weighed system.

In the closed setup, vinegar is placed in the conical flask and baking soda is held inside a balloon attached securely to the mouth of the flask. The complete apparatus is weighed before mixing. The balloon is then lifted so that the baking soda falls into the vinegar. Carbon dioxide forms and inflates the balloon, but it does not escape. When the entire apparatus is weighed again, the final reading matches the initial reading within normal measurement uncertainty.

Measurement Note

A digital balance has limited precision. Small variation in the last displayed digit can lie within experimental uncertainty. The important comparison is whether the readings agree within the precision of the instrument.

Law of Conservation of Mass

Definition
Law of Conservation of Mass

Matter can neither be created nor destroyed in a chemical reaction. The total mass before the reaction equals the total mass after the reaction when the complete system is considered.

Conservation RelationshipLaTeX
Antoine Lavoisier proposed this law after careful quantitative study of chemical changes.

The law does not say that every individual substance keeps the same mass. Reactants are converted into products, so the amount of one substance may decrease while another appears. What remains constant is the total mass of all matter participating in the reaction.

Verifying the Law With a Precipitation Reaction

When sodium sulfate solution and barium chloride solution are mixed, a white precipitate of barium sulfate forms along with sodium chloride. No gas is produced in this reaction, so the two flasks can be kept on the balance before and after mixing and the total mass can be compared directly. The observed constancy of mass gives another verification of the law.

Reaction in WordsLaTeX
Activity: Verifying Conservation

Place the two solutions in separate flasks and weigh both flasks together. Mix one solution into the other, return both flasks to the balance, and compare the total readings. Keeping both flasks on the balance also prevents a small amount of solution left on a flask wall from being accidentally excluded.

Designing a Fair Test

Suppose zinc reacts with dilute hydrochloric acid to form zinc chloride and hydrogen gas. Because a gas is produced, an open beaker would not be a reliable setup for comparing mass. A fair design must trap the hydrogen while still allowing the reactants to mix. A stoppered flask connected to a gas-tight balloon is one possible approach. The complete apparatus must be weighed before and after the reaction.

Reaction in WordsLaTeX
Worked Example: Verifying Conservation

Problem
A closed container holds 4.0 g of calcium carbonate and 2.92 g of hydrochloric acid. The products are 1.76 g of carbon dioxide, 0.72 g of water and 4.44 g of calcium chloride. Verify conservation of mass.

  1. 1.Add the reactant masses: 4.0 g + 2.92 g = 6.92 g.
  2. 2.Add the product masses: 1.76 g + 0.72 g + 4.44 g = 6.92 g.
  3. 3.Compare the totals. The reactants have a total mass of 6.92 g and the products also have a total mass of 6.92 g.
  4. 4.Because the two totals are equal, the measured data obey the Law of Conservation of Mass.
Worked Example: Scaling Product Mass

Problem
Twelve grams of carbon combines with oxygen to form forty-four grams of carbon dioxide. How much carbon dioxide is produced when 2.4 g of carbon reacts completely under the same proportion?

  1. 1.Twelve grams of carbon produces 44 g of carbon dioxide.
  2. 2.Find the amount produced by 1 g of carbon: 44 ÷ 12 g.
  3. 3.Multiply by 2.4 because 2.4 g of carbon reacts: (44 ÷ 12) × 2.4.
  4. 4.The result is 8.8 g.
  5. 5.Therefore, 2.4 g of carbon produces 8.8 g of carbon dioxide under the stated relationship.
Worked Example: Finding Total Product Mass

Problem
Twenty grams of hydrogen reacts completely with 160 g of oxygen. What mass of water is formed if water is the only product?

  1. 1.Add the total mass of reactants: 20 g + 160 g = 180 g.
  2. 2.Apply conservation of mass: total mass of products must equal total mass of reactants.
  3. 3.Because water is the only product stated, its mass is 180 g.
Do Not Mistake an Open-System Reading for Lost Matter

If ethanol burns in an open beaker and no residue remains, the reaction products have not disappeared. Gaseous products can leave the beaker and enter the surrounding air, so weighing only the beaker afterward does not include the whole system.

Quiz

Quick check

Which description best matches Open System?

Quick check

Which description best matches Closed System?

Quick check

Which term matches this description: A reaction setup in which matter can enter or leave the part of the system being measured.

Quick check

Which term matches this description: A reaction setup arranged so that the substances involved in the reaction, including gases produced, remain within the measured system.

Quick check

Which statement is a key takeaway from this lesson?

Practice Problems

Check Your Understanding
  1. Explain why dissolving salt in water does not change the total mass of the sample.
  2. Describe why a balloon is important when vinegar reacts with baking soda in a mass-conservation investigation.
  3. Design a closed setup for a reaction that produces hydrogen gas.
  4. A reaction begins with 7.5 g and 4.5 g of two reactants. If there is only one product, what mass should it have?
  5. Explain why an apparent decrease in an open reaction vessel does not violate conservation of mass.

Key Takeaways

Key Takeaways

• The total mass of matter remains constant during a chemical reaction when the entire system is considered. • The Law of Conservation of Mass states that mass is neither created nor destroyed. • A closed system prevents substances such as gases from escaping during an experiment. • An apparent change in mass can occur when matter enters or leaves an open system.