MCAT Chapters 1 & 2

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    MCATCHEMISTRY

    Review 1

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    DIMENSIONAL ANALYSIS

    We use dimensional analysis as a tool to interconvert between units.

    -Design the problems to ______________ with your known, and to _____________ with the unit of

    your unknown.

    EXAMPLE 1: A sample of gaseous N2contains 0.10 moles and occupies a volume of 7.0 m3. Find its density

    in g/cm3.

    a. 0.40 g/cm3.b. 4.0 x 10-3g/cm3.c. 4.0 x 10-5g/cm3.d. 4.0 x 10-7g/cm3.

    EXAMPLE 2:If a person is taking a prescription of Betaxol after surgery and the recommended dosage is 50.0

    mg/kg of body mass. Calculate the recommended dosage for a person who weighs 100 lbs.

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    MASS CONVERSIONS

    The_______________is the chemical unit for the amount of a substance.

    One mole (1 mol) contains 6.022 x 1023

    entities, which is known as __________________________________.

    Entities means______________________ , ______________________ or ______________________ We use______________________when dealing with a single, individual element. We use_________________or _________________when dealing with more than one element or a

    compound.

    6.022 x 1023

    atoms of Fe is equal to 1 mole of Fe and has a mass of 55.85 amu

    EXAMPLE: Determine the number of oxygen atoms in 16.0 grams of ozone, O3?

    Use Avogadros Number

    6.022 x 1023

    Use Atomic Mass

    Atoms Moles Grams

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    6.022 x 1023

    molecules of HClis equal to 1 mole of HCl and has a mass of 36.46 amu

    EXAMPLE 1: Determine the grams of water found in 3.01 x 1024

    oxygen.

    EXAMPLE 2: What is the number of ammonia, NH3, molecules found in 170.0 g NH3?

    Molecules Moles Grams

    Use Avogadros Number

    6.022 x 1023

    Use Molecular Mass

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    MASS PERCENT

    Mass or weight percent is the percentage of a given element in a compound.

    EXAMPLE 1: What is the mass percent of oxygen in calcium carbonate, CaCO3?

    a. 40%b. 25%c. 16%d. 48%

    EXAMPLE 2: What is the mass percent of a 1.0 m NaOH solution?

    a. 4.0%b. 3.0%c. 3.8%d. 5.0%

    EXAMPLE 3: What is the mass percent of a 2.8 M KOH solution with a density of 1.50 g/cm3?

    a. 7.2%b. 5.8%c. 6.3%d. 9.0%

    Mass Percent (%)=Mass Component

    Total Mass of Compound 100

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    STOICHIOMETRIC REACTIONS

    In the above equation the numbers that are in bold are called_______________________.

    They tell us the number of______________of each compound that reacts.This numerical relationship between compounds in a balanced equation is called__________________________.

    STOICHIOMETRIC CHART

    Before we get into solving stoichiometric reactions lets work out a plan of attack.

    Entities means______________________ , ______________________ or ______________________.

    Use this chart when given a chemical equation with the____________quantity of a compound or element and

    asked to find the____________quantity of another compound or element.

    2 H2(g) + 1O2(g) 2H2O (g)

    Entities of Given

    Grams of Given

    Entities of Unknown

    Grams of Unknown

    Moles of Given Moles of Unknown

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    EXAMPLE 1:How many grams of calcium chloride are needed to prepare 72 g of silver chloride according to

    the following equation?

    CaCl2(aq) + 2 AgNO3(aq) Ca(NO3)2(aq) + 2 AgCl (s)

    EXAMPLE 2: What is the percent yield for a reaction in which 27 g of Cu is produced by reacting 32.5 g of Zn

    in excess CuSO4solution?

    Zn (s) + CuSO4(aq) Cu (s) + ZnSO4(aq)

    a. 84%b. 75%c. 90%d. 50%

    EXAMPLE 3: A sodium azide air bag inflates to a volume of 45 Liters at STP. According to the information

    contained in the passage, what is the mass of NaN3 (Mol. Wt. = 65) that is required to inflate the bag?

    2 NaN3 2 Na + 3 N2

    a. 76 gramsb. 81 gramsc. 87 gramsd. 130 grams

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    MOLARITY

    Molarity (M)can serve as the connection between the interconversion of____________ to____________and

    vice versa.

    For example, a 5.8 M NaClsolution really means_______________________per_____________________.

    A typical mixture consists of a smaller amount of one substance, the ________________, dissolved in a larger

    amount of another substance, the __________________. Together they form a __________________.

    EXAMPLE 1:Stock hydrochloric acid solution is 36.0% by volume HCl. If you assume that the density of the solution is 2.50

    g/cm3.What is the molarity of the solution?

    Molarity =MolesSolute)(

    LitersSolution)(

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    SOLUBILITY

    The ___________________________ of a compound represents the maximum amount of solute that dissolves in a solvent

    SOLUBILITY RULES

    SOLUBLE IONIC COMPOUNDS INSOLUBLE IONIC COMPOUNDS

    1. Group 1A ions (Li+, Na+, K+, etc.)and ammoniumion (NH4+)are soluble.

    1. (Hydroxides) OH-and (Sulfides) S2-, are insolubleexceptwhen with Group 1A ions (Li+, Na+, K+, etc.),

    ammonium ion (NH4+) and Ca2+, Sr2+, Ba2+.

    2. (Nitrates) NO3-, (acetates) CH3COO-or C2H3O2-,and most perchlorates (ClO4-)are soluble.

    2. (Carbonates) CO32-and (Phosphates) PO43-are

    insoluble exceptwhen with Group 1A ions

    (Li+, Na+, K+, etc.), ammonium ion (NH4+).

    3. Cl-, Br-, and I-are soluble, exceptwhen pairedwith Ag+, Pb2+.

    4. (Sulfates) SO42-are soluble, exceptthose of Ca2+,Sr2+, Ba2+, Ag+, Hg2+and Pb2+.

    When we classify a compound as solubleit means that the compound is_______________________, it is also known as

    a(n)_______________________because it conducts electricity.

    NaNO3(s) Na+(aq) + NO3 (aq)

    When we classify a compound as insolubleit means that the compound is a_______________________, it is also known

    as a(n)_______________________because it doesnt conduct electricity.

    CH3OH (l) CH3OH (aq)

    BaSO4(s) BaSO4(aq)

    H2O

    H2O

    H2O

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    OXIDATION-REDUCTION REACTIONS

    Chemists use some important terminology to describe the movement of electrons.

    In______________reactions we have the movement of electrons from one reactant to another.

    Rules for Assigning an Oxidation Number (O.N.)

    A. General Rules1. For an atom in its elemental form (Na, O2, S8, etc.): Oxidation #=02. For an ion the O.N. equals the charge: Na+, Ca2+, NO3

    B. Specific Rules1. Group 1A: O.N. = +12. Group 2A: O.N. = +23. For hydrogen: O.N. = +1 with nonmetals

    O.N. = -1 with metals and boron

    4. For Fluorine: O.N. = -1

    5. For oxygen: O.N. = -1 in peroxides (X2O2 , X = Group 1(A) element)

    O.N. =1

    2in superoxides (XO2, X = Group 1(A) element)

    O.N. = - 2 in all other compounds

    6. Group 7A O.N. = -1 (except when connected to O)

    L

    E

    O

    G

    E

    R

    Agent Agent

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    EXAMPLE:Give the oxidation number of the underlined atom in the following molecules and ions:

    a) PO43- c) H3AsO4

    b) V2O52- d) NaO2

    EXAMPLE 2:Use the following choices to answer the following questions:

    a. Metathesis b. Acid-Base c. Hydrogen Displacement d. Combustion e. Metal Displacement

    a) Ba(NO3)2 (aq) + Na2SO4 BaSO4(s) + 2 NaNO3 (aq)

    b) Mg (s) + 2 HCl (aq) MgCl2 (aq) + H2(g)

    c) Ca (s) + 2 LiNO3(aq) Ca(NO3)2(aq) + 2 Li (s)

    d) C3H8 (g) + 5 O2(g) 3 CO2 (g) + 4 H2O (g)

    e) NaOH (aq) + HBr (aq) H2O (l) + NaBr (aq)

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    ELECTRON ORBITAL THEORY

    The main atomic sub-levels are the s, p, dand f. Each atomic sub-level has a set number of atomic or electron orbitals.

    Each electron orbital can hold up________electrons.

    The ssub-level contains one electron orbital _______

    Thepsub-level contains three electron orbitals

    _______ _______ _______

    The dsub-level contains five electron orbitals

    _______ _______ _______ _______ _______

    The fsub-level contains seven electron orbitals

    _______ _______ _______ _______ _______ _______ _______

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    ELECTRONIC STRUCTURE

    In this chapter we will focus on how an elements________________________________________ - the distribution of

    electrons within the orbitals of its atomsrelates to its chemical and physical properties.

    History Lesson:In 1870, Dmitri Mendeleev arranged 65 elements into a ___________________________________ .

    He summarized their behavior in the _______________________________. When arranged by atomic mass, the elements exhibit a periodic recurrence of similar properties.

    The Electron Configuration

    According to the______________Principleyou first have to totally fill in the lowest energy level before moving to the next.

    According to the______________Principleno two electrons can have the same four quantum numbers.

    Hunds Rulestates that electron orbitals that are______________________are first half-filled before they are totally filled.

    1s 2s 2p 3s

    1s 2s 2p

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    EXAMPLE 1:Give the electron configuration for each of the following elements and its ion. For the ion, state if it is

    paramagneticor diamagnetic:

    a. Cu

    Cu+

    b. Mn

    Mn5+

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    QUANTUM NUMBERS OF AN ATOMIC MODEL

    An atomic orbital is characterized by threequantum numbers.

    The__________________quantum number deals with the atomic orbitals size and energy. It tells us the relative distance

    of the electron from the nucleus. It uses the variable___________ and provides the shell number of the electron.

    EXAMPLE:Calculate the principal quantum number of each atomic sublevel.

    a. 6s b. 3p c. 8f d. 5d

    The electron capacity of each shell can be determined by using the formula:____________________ .

    Electron Shell (n) Maximum Number of Electrons

    1

    2

    3

    4

    The_______________________quantum number deals with the shape of the atomic orbital. Each atomic orbital has aspecific shape.

    It uses the variable___________ and formula_______________________.

    Each atomic sub-level has an L value associated with it.

    Sublevel s p d f g

    L value 0 1 2 3 4

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    The________________________________quantum number deals with the orientation of the orbital in the space around

    the nucleus. It is a range of the previous quantum number: -l to +l. It uses the variable___________.

    Sublevel s p d f

    L value 0 1 2 3

    MLvalue

    The____________quantum number (mS) helps to discuss the rotational spin of the electron and is_______and_______.

    EXAMPLE: What l or mlvalues are allowed if n = 3? How many orbitals exist for n = 3?

    EXAMPLE:How many electrons can have the following quantum sets?

    a) n = 4

    b) n = 3, l = 1

    c) n = 4, mL= -2

    d) n = 5, l = 2, mL= -2

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    EXAMPLE:Give the set of four quantum numbers that represent the indicated electron in each of the following elements.

    a. P(13thelectron) n = , l = , ml= , ms=

    b. Ni2+(23rd electron) n = , l = , ml= , ms=

    c. Cr3+(21stelectron) n = , l = , ml= , ms=

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    ELECTRON SHIELDING

    When looking at any particular electron within an atom it experiences two major forces.

    A(n)________________force from the nucleus and a(n)_______________force from the surrounding electrons.

    Now the electron can become shielded from the full force of the nucleus because of the other surrounding electrons.

    _________________________________(Zeff) measures the force exerted onto an electron by the nucleus, and

    can be calculated using______________Rule.

    EXAMPLE 1:Answer the following questions dealing with the indicated orbitals.

    A) 1s B) 4f C) 3s D) 3d E) 2p

    i. In which orbital below would an electron (on average) be farthest from the nucleus?

    ii. In which orbital below would an electron (on average) be closest to the nucleus?

    +2

    e-

    e-

    e- e

    -

    e-

    Zeff= Z S

    Z =

    S =

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