CHEM 1411 Practice Exam 1 Notes

CHEM 1411 Practice Exam 1 Notes

Problem 1: States of Matter

  • A. Fills any container completely

    • State of Matter: Gas

    • Gases do not have a fixed volume or shape and will expand to fill any container they are placed in.

  • B. Assumes the shape of its container

    • State of Matter: Liquid

    • Liquids have a definite volume but take the shape of their container.

  • C. Is rigid and only slightly compressible

    • State of Matter: Solid

    • Solids have a definite shape and volume, and are not easily compressible.

Problem 2: Endothermic vs. Exothermic Processes

  • A. Formation of Ice Cubes

    • Type: Exothermic process

    • Heat is released when water freezes into ice.

  • B. Condensation

    • Type: Exothermic process

    • Heat is released when water vapor condenses into liquid water.

  • C. Burning Crude Oil

    • Type: Exothermic process

    • Heat is released when crude oil undergoes combustion.

Problem 3: Mixtures vs. Pure Substances

  • A. Oxygen

    • Type: Pure Substance

    • Oxygen (O₂) is a diatomic molecule and a pure substance.

  • B. Chocolate Chip Cookie

    • Type: Heterogeneous Mixture

    • Contains distinct components (chocolate chips, cookie dough) that can be observed.

  • C. Aluminum Foil

    • Type: Pure Substance

    • Aluminum foil is made of pure aluminum atoms without mixture.

Problem 4: Scientific Notation

  • A. 15892

    • Standard Scientific Notation: 1.5892imes1041.5892 imes 10^4

    • Significant Figures: 5

  • B. 0.015892

    • Standard Scientific Notation: 1.5892imes1021.5892 imes 10^{-2}

    • Significant Figures: 5

  • C. 0.1

    • Standard Scientific Notation: 1.0imes1011.0 imes 10^{-1}

    • Significant Figures: 2

Problem 5: Unit Conversions

  • A. 1.070 L to gallons

    • Conversion: 1.070extLimes0.264172=0.282extgallons1.070 ext{ L} imes 0.264172 = 0.282 ext{ gallons}

    • Significant Figures: 3

  • B. 6.2 x 10^{-7} kg to short tons

    • Conversion: 6.2imes107extkgimes(1extshortton/907.185extkg) =6.84imes1010extshorttons6.2 imes 10^{-7} ext{ kg} imes (1 ext{ short ton} / 907.185 ext{ kg}) \ = 6.84 imes 10^{-10} ext{ short tons}

    • Significant Figures: 2

Problem 6: Density and Mass Calculation

  • Density of Sucrose: 1.65 g/cm³

  • Dimensions of Crystal: 2.20 mm x 1.36 mm x 1.23 mm

    • Volume Calculation:

    • Convert mm to cm: 2.20 mm = 0.220 cm, 1.36 mm = 0.136 cm, 1.23 mm = 0.123 cm

    • extVolume=0.220extcmimes0.136extcmimes0.123extcm=0.003836extcm3ext{Volume} = 0.220 ext{ cm} imes 0.136 ext{ cm} imes 0.123 ext{ cm} = 0.003836 ext{ cm}³

    • Mass Calculation using Density:

    • extMass=extDensityimesextVolume=1.65extg/cm3imes0.003836extcm3=0.0063extgext{Mass} = ext{Density} imes ext{Volume} = 1.65 ext{ g/cm}³ imes 0.003836 ext{ cm}³ = 0.0063 ext{ g}

Problem 7: Carbon in CO₂

  • A. Mass of Carbon in 7.65g of CO₂

    • Molar Mass of CO₂: Carbon (C) = 12.01 g/mol, Oxygen (O) = 16.00 g/mol

    • Molar mass of CO₂ = 12.01 + 2(16.00) = 44.01 g/mol

    • extMassofC=rac12.01extg/mol44.01extg/molimes7.65extg=2.09extgext{Mass of C} = rac{12.01 ext{ g/mol}}{44.01 ext{ g/mol}} imes 7.65 ext{ g} = 2.09 ext{ g}

  • B. Number of Carbon Atoms in 7.65g CO₂

    • Number of moles of CO₂ = rac7.65extg44.01extg/mol=0.1748extmolrac{7.65 ext{ g}}{44.01 ext{ g/mol}} = 0.1748 ext{ mol}

    • Number of moles of C in CO₂ = 0.1748 mol (1:1 ratio)

    • Number of atoms = 0.1748extmolimes6.022imes1023extatoms/mol=1.05imes1023extatoms0.1748 ext{ mol} imes 6.022 imes 10^{23} ext{ atoms/mol} = 1.05 imes 10^{23} ext{ atoms}

Problem 8: Atom/Ion Table

  • Complete the following table:

    • Atom/Ion: 90Sr

    • Chemical Symbol: Sr

    • Number of Protons: 38

    • Number of Electrons: 38

    • Number of Neutrons: 52

    • Atom/Ion: 128Te²⁻

    • Chemical Symbol: Te

    • Number of Protons: 52

    • Number of Electrons: 54

    • Number of Neutrons: 76

    • Atom/Ion: 41Sc³⁺

    • Chemical Symbol: Sc

    • Number of Protons: 21

    • Number of Electrons: 18

    • Number of Neutrons: 20

    • Atom/Ion: 34S⁴⁺

    • Chemical Symbol: S

    • Number of Protons: 16

    • Number of Electrons: 12

    • Number of Neutrons: 18

Problem 9: Chemical Nomenclature

  • Name or Write Balanced Formula for the following:

    • A. PbO₂

    • B. Al₂(SO₃)₂

    • C. N₂O

    • D. HClO₄

    • E. H₂S(aq)

    • F. Cu₂O

    • G. Mg₃P₂

    • H. Sn(NO₃)₄

    • I. HNO₂

    • J. HClO

    • K. Cuprous Chlorite

    • L. Lithium Carbonate

    • M. Potassium Acetate

    • N. Nitric Acid

    • O. Sulfuric Acid

    • P. Hydroiodic Acid

    • Q. Dinitrogen Tetrasulfide

    • R. Phosphorus Pentachloride

    • S. Tin (IV) Iodide

    • T. Ammonium Oxide

Problem 10: Empirical and Molecular Formulas

  • Given Composition: 68.3% lead, 10.6% sulfur, remainder oxygen

    • Determine: Remainder for Oxygen = 100% - (68.3% + 10.6%) = 21.1%

    • Convert to Moles:

    • Moles of Pb = rac68.3extg207.2extg/mol=0.329extmolrac{68.3 ext{ g}}{207.2 ext{ g/mol}} = 0.329 ext{ mol}

    • Moles of S = rac10.6extg32.07extg/mol=0.331extmolrac{10.6 ext{ g}}{32.07 ext{ g/mol}} = 0.331 ext{ mol}

    • Moles of O = rac21.1extg16.00extg/mol=1.32extmolrac{21.1 ext{ g}}{16.00 ext{ g/mol}} = 1.32 ext{ mol}

  • Empirical Formula: PbS₁O₄

  • Molar Mass Approx.: 910 g

    • Molecular Formula Calculation:

    • Divide molar mass by empirical formula mass (lead = 207.2, sulfur = 32.07, oxygen = 16.00): ( ext{Empirical Formula Mass} = 207.2 + 32.07 + 64 = 303.27 ext{ g/mol} )

    • Ratio = rac910303.27<br>ightarrowextapproximately3rac{910}{303.27} <br>ightarrow ext{approximately } 3

    • So, extMolecularFormula=Pb3S3O12ext{Molecular Formula} = Pb₃S₃O₁₂

Problem 11: Atomic Structure

  • A. Atomic Structure Before Rutherford's Experiment

    • Model: Plum Pudding Model (proposed by J.J. Thomson)

    • Atoms are a uniform positive sphere with negative electrons embedded within it.

    • Expected Outcome: Deflection of alpha particles expected to be minimal – as particles were thought to be uniformly distributed.

  • B. Nuclear Atom Model

    • Description: After the gold foil experiment, the concept of the nuclear atom was introduced.

    • The nucleus is a dense core containing protons and neutrons, with electrons orbiting around it.

    • Development:

    • Outcome of the experiment: Some alpha particles were deflected at large angles, which showed that there is a concentrated mass (the nucleus) at the center of the atom, contradicting the plum pudding model.