Molarity

Suppose you add 10 grams of sodium chloride to 100 milliliters of water. Then, in a different container, you add 10 grams of table sugar to 100 milliliters of water. Do the two solutions contain the same number of solute particles? No, they do not, because the two different solutes have different molar masses.

To compare the number of solute particles in solutions, chemists often use moles to measure concentration. Recall that a mole is the amount of a substance that contains approximately 6.02 × 1023 particles of that substance. Molarity is the number of moles of a solute dissolved per liter of solution. Use the following equation to calculate molarity.

Molarity=Moles of soluteLiters of solutions

To make a 1-molar (1M) solution of sodium chloride in water, first calculate the molar mass of the solute. Sodium chloride, NaCl, has a molar mass of 58.5 grams. If 58.5 grams of sodium chloride is mixed with enough water to make one liter of solution, the resulting solution is 1-molar.

Table sugar, C12H22O11, has a molar mass of 342 grams. To make a 1-molar solution of table sugar in water, 342 grams of table sugar must be added to enough water to make one liter of solution.

Figure 13 A 1M NaCl solution contains 58.5 grams of NaCl per liter of solution. Calculating How much solute would you need to make to make one liter of a 0.2-molar solution of sodium chloride in water?

Various glass bottles, labeled according to their solutions.

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Physical Science CHAPTER 1 Science Skills CHAPTER 2 Properties of Matter CHAPTER 3 States of Matter CHAPTER 4 Atomic Structure CHAPTER 5 The Periodic Table CHAPTER 6 Chemical Bonds CHAPTER 7 Chemical Reactions CHAPTER 8 Solutions, Acids, and Bases CHAPTER 9 Carbon Chemistry CHAPTER 10 Nuclear Chemistry CHAPTER 11 Motion CHAPTER 12 Forces and Motion CHAPTER 13 Forces in Fluids CHAPTER 14 Work, Power, and Machines CHAPTER 15 Energy CHAPTER 16 Thermal Energy and Heat CHAPTER 17 Mechanical Waves and Sound CHAPTER 18 The Electromagnetic Spectrum and Light CHAPTER 19 Optics CHAPTER 20 Electricity CHAPTER 21 Magnetism CHAPTER 22 Earth's Interior CHAPTER 23 Earth's Surface CHAPTER 24 Weather and Climate CHAPTER 25 The Solar System CHAPTER 26 Exploring the Universe Skills and Reference Handbook