Chy 115 Moles

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    CH 3: Stoichiometry

    Moles

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    Mole Defined

    Mole = number equal to the # of carbon

    atoms in exactly 1 !rams of "ure C1$

    % Mole = &$' x 1'3

    % Called ()o!adro*s number

    +ne mole of "rotons = 1!

    +ne mole of neutrons = 1! +ne mole of an element = atomic mass in

    !rams

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    Molar Mass and related terms

    Molar mass % mass in !rams of one mole of a

    substance

    % molecular ,ei!ht- mass of 1 molecule in amu

    %.ormula ,ei!ht- mass of 1 formula unit for an ioniccom"ound in amu

    Calculate by summin! the masses of the

    com"onent atoms- units:

    %molar mass % !rams or !rams/mole

    %molecular ,t 0 formula ,t amu

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    Moles- mass and # "articles

    Molar mass lins the mass of a substance

    to the number of "articles "resent

    1 mole M! = 2$31! = &$' x 1'3M! atoms

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    Molar Mass elated Calculations:

    1$ Molar mass of a substance$

    $ Moles "resent in a !i)en mass of

    substance$3$ Mass of a !i)en number of moles of a

    substance$

    2$ 4umber of "articles in a !i)en mass or a!i)en number of moles of a substance$

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    1$ 5hat is the molar mass of !lucose$ 6he

    formula for !lucose is C&H1+&$

    $ 5hat is the mass of '$'3 moles of

    !lucose7

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    3$ Ho, many !lucose molecules are

    "resent in '$'3 moles of the

    com"ound7

    2$ Ho, many moles of !lucose are "resent

    in 3$8 x 1'#3!rams of the substance7

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    Mass 9ercent

    Com"ounds are ty"ically described by

    either their chemical formula or their

    "ercent by mass of the com"onent

    elements$

    Mass ; = n

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    Mass 9ercent Calculations

    Calculate the mass "ercent of each

    element in C&H1+&%(ssume one mole of the substance$

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    >m"irical and Molecular .ormulas

    Molecular formula % ratio of atoms in a

    molecule

    >m"irical formula % sim"lest ratio of

    elements in a molecule

    ?lucose:

    % Molecular formula: C&H

    1+

    &

    % >m"irical .ormula:

    Molecular formula = n

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    Mass >m"irical .ormula

    ?i)en mass "ercent data:

    1$ @CalculateA mass in !rams of each element in1'' ! of com"ound$

    $ Con)ert each mass into moles of the element$3$ Di)ide each molar ans,er by the smallest ofthe )alues$

    2$ Bf the numbers obtained in ste" 3 are not ,holenumbers- multi"ly all by an inte!er so theresults are ,hole numbers

    8$ 5hole numbers obtained in ste" are thesubscri"ts in the em"irical formula$

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    >m"irical .ormulaMolecular

    .ormula

    Molar mass needed

    Calculate mass of one mole of the

    em"irical formula$

    Molar Mass = inte!er

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    Caffeine

    Molar mass = 12 !/mol

    2$2 C

    8$1 H

    E$E8 4

    1&$2E +

    5hat is the em"irical and molecular formulaof caffeine7

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    (cetamino"hen

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    CH 3: #E&

    Grea: Molar Mass &' !/mol

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    3$F/3$E Chemical eactions

    5ritin! chemical reactions

    % 5rite the correct chemical formula for each

    reactant and "roduct$

    % Gse a subscri"t after each formula to indicate

    the state of each substance

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    Chemical equations must obey the la, of

    conser)ation of matter % balancin! does

    this$

    alance the equation by addin!

    coefficients in front of reactants and

    "roducts as needed

    % D+ 4+6 CH(4?> 6H> .+MGI(S .+

    6H> C+M9+G4DS

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    +ne of my fa)orite chemical reactions:

    M!la, of conser)ation of matter % reactionneeds to be balanced

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    M!

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    alance the eactions

    4

    4a9b

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    Meanin! of the alanced eaction

    (tomic le)el

    Molar le)el

    Stoichiometry relationshi" bet,een

    moles- the balanced reaction and mass

    % 9a!e 1'7 outlines the needed ste"s

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    4a J Cl 4aCl

    mol 4a J 1 mol Cl mol 4aCl

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    Cooie exam"leK

    e!!s J 1 ba! chi"s 8' cooies

    Ho, many cooies could you mae if youhad only one e!!7

    Ho, many cooies could you mae if youhad ba!s of chi"s7

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    Molar atios

    alanced reactions lead to molar ratios

    4 J 3 H

    4H3

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    4

    1$ Bf 3$8 !rams of 4 to react- ho, many

    moles and ho, many !rams of 4H3,ould be made7

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    4

    1$ Ho, many !rams of H are needed to

    mae3F$E !rams of 4H37

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    Ii+H J C+IiC+3 J H+

    1$ Ho, many !rams of Ii+H are needed to

    react F8'$ !rams of C+7

    $ Ho, many !rams of IiC+3 ,ill be made

    if F8'$ !rams of C+ react7

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    Iimitin! ea!ent

    eactants are not al,ays combined in

    stoichiometric quantities$

    +ften one reactant is used u" before

    others$

    6his reactant is said to be the limitin!

    rea!ent

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    Iimitin! ea!ent Calculations

    5hen you are !i)en masses for each

    reactant you must determine ,hich

    reactant is limitin!$

    1$ Con)ert !rams of each reactant to moles$

    $ Gse the molar ratios to determine ,hich

    reactant is limitin!$

    3$ ase the amount of "roduct that can be

    made on the limitin! rea!ent$

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    (nother (""roachL

    1$ Con)ert !rams of each reactant to moles$

    $ Calculate the moles

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    4

    1$8 !rams of nitro!en is combined ,ith

    $3' !rams of hydro!en$

    5hich reactant is in excess and ,hich is

    limitin!7

    Ho, many !rams of ammonia ,ill be

    made7

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    9ercent ield

    ield = actual yield x 1''

    theoretical yield