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**Chapter 6 Chemical Reactions and Quantities**

6.5 Molar Mass

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**Molar Mass The molar mass is the mass of one mole of a substance**

the atomic mass of an element expressed in grams

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**Learning Check Give the molar mass to the nearest 0.1 g.**

A. K = ________ B. Sn = ________

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**Solution Give the molar mass to the nearest 0.1 g. A. K = 39.1 g**

B. Sn = g

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Molar Mass of CaCl2 For a compound, the molar mass is the sum of the molar masses of the elements in the formula. We calculate the molar mass of CaCl2 to the nearest 0.1 g as follows. Element Number of Moles Atomic Mass Total Mass Ca 1 40.1 g/mole 40.1 g Cl 2 35.5 g/mole 71.0 g CaCl2 111.1 g

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**Molar Mass of K3PO4 Determine the molar mass of K3PO4 to 0.1 g. K 3**

Element Number of Moles Atomic Mass Total Mass in K3PO4 K 3 39.1 g/mole 117.3 g P 1 31.0 g/mole 31.0 g O 4 16.0 g/mole 64.0 g K3PO4 212.3 g

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One-Mole Quantities 32.1 g g g g g

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**Guide to Calculating Molar Mass**

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Learning Check Calculate the molar mass for Al(OH)3 to the nearest 0.1g. 1) g/mole 2) g/mole 3) g/mole

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Solution STEP 1 Obtain the molar mass of each element Al g/mole O g/mole H g/mole STEP 2 Multiply each by the subscript in the formula. 1 mole Al x g Al = g 1 mole Al 3 moles O x g O = g 1 mole O 3 moles H x 1.0 g H = g 1 mole H STEP 3 Total: 1 mole of Al(OH)3 = g (3)

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Learning Check Prozac, C17H18F3NO, is an antidepressant that inhibits the uptake of serotonin by the brain. What is the molar mass of Prozac? 1) g/mole 2) 262 g/mole 3) 309 g/mole

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Solution 3) 309 g/mole STEP 1 Obtain the molar mass of each element C g/mole H 1.0 g/mole F g/mole N 14.0 g/mole O 16.0 g/mole STEP 2 Multiply each by the subscript in the formula. 17 moles C x g C = g 1 mole C 18 moles H x 1.0 g H = g 1 mole H

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**Solution (continued) STEP 2 (continued) 3 moles F x 19.0 g F = 57.0 g**

1 mole F 1 mole N x g N = g 1 mole N 1 mole O x g O = g 1 mole O STEP 3 Total: 1 mole of C17H18F3NO = g

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**Conversion Factors from Molar Mass**

Methane (CH4), known as natural gas, is used in gas stoves and gas heaters. 1 mole of CH4 = g of CH4 The molar mass of methane can be written as conversion factors. 16.0 g CH and mole CH4 1 mole CH g CH4

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**Learning Check Acetic acid, C2H4O2, gives the sour taste to vinegar.**

Write an equality and two molar mass conversion factors for acetic acid.

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**Solution Acetic acid, C2H4O2, gives the sour taste to vinegar.**

Write an equality and two molar mass conversion factors for acetic acid. Equality: 1 mole of acetic acid = g of acetic acid Molar mass conversion factors: 1 mole acetic acid and g acetic acid 60.0 g acetic acid mole acetic acid

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**Guide to Calculations Using Molar Mass**

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**Calculating Grams from Moles**

Aluminum is often used for the structure of lightweight bicycle frames. How many grams of Al are in 3.00 moles of Al? 3.00 moles Al x g Al = g of Al 1 mole Al mole factor for Al

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Learning Check The artificial sweetener aspartame (NutraSweet), C14H18N2O5 , is used to sweeten diet foods, coffee, and soft drinks. How many moles of aspartame are present in 225 g of aspartame?

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**Solution STEP 1 Given: 225 g of aspartame, C14H18N2O5**

STEP 2 Plan: g of aspartame moles of aspartame STEP 3 Determine molar mass of aspartame: 14(12.0) + 18(1.0) + 2(14.0) + 5(16.0) = 294 g/mole STEP 4 Set up problem to calculate the moles of aspartame: 225 g aspartame x 1 mole aspartame 294 g aspartame mole factor (inverted) = mole of aspartame

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**Converting Between Mass, Moles, and Particles**

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1 Chapter 3. 2 1 trio= 3 singers 1 six-pack Cola=6 cans Cola drink 1 dozen donuts=12 donuts 1 gross of pencils=144 pencils Collection Terms.

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