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CH1810 - Practice Exam #3 - Answers Name: ____________________________________________ Score: __________________________ Part I (~4 points each) Multiple Choice - Choose the best answer and place the letter corresponding to the answer in the space provided AND on the Scantron form. _____ 1. Identify the type of solid for gold. A) metallic atomic solid B) ionic solid C) nonbonding atomic solid D) molecular solid E) network atomic solid _____ 2. Identify the type of solid for argon. A) metallic atomic solid B) ionic solid C) nonbonding atomic solid D) molecular solid E) network atomic solid _____ 3. Give the coordination number for a body-centered cubic cell. A) 0 B) 6 C) 8 D) 10 E) 12 _____ 4. Name the following: [Pt(H 2 O) 4 F 2 ]Br 2 A) tetraaquadifluoroplatinum(IV) bromide B) tetraaquadibromodifluoroplatinate C) platinum(II)bromide D) platinum(III)tetraaquadifluorobromide E) platinum (II) dibromodifluorotetrahydride _____ 5. Choose the chemical formula for diaquadicarbonylzinc tetrabromopalladate (IV). A) [PdZn(H 2 O) 2 (CO) 2 ]Br 4 B) [Zn(H 2 O) 2 (CO) 2 ] 2 [PdBr 4 ] C) [Pd(H 2 O) 2 ][Zn(CO) 2 ]Br 4 D) [Pd(H 2 O) 2 ] 2 [Zn(CO) 2 ] 3 Br 4 E) [Zn(H 2 O) 2 (CO) 2 ][PdBr 4 ] A C C A E
Transcript

CH1810 - Practice Exam #3 - Answers

Name: ____________________________________________ Score: __________________________

Part I (~4 points each)

Multiple Choice - Choose the best answer and place the letter corresponding to the answer in the space provided AND on the Scantron form.

_____ 1. Identify the type of solid for gold.

A) metallic atomic solid B) ionic solid C) nonbonding atomic solid D) molecular solid E) network atomic solid _____ 2. Identify the type of solid for argon.

A) metallic atomic solid B) ionic solid C) nonbonding atomic solid D) molecular solid E) network atomic solid

_____ 3. Give the coordination number for a body-centered cubic cell.

A) 0 B) 6 C) 8 D) 10 E) 12

_____ 4. Name the following: [Pt(H2O)4F2]Br2

A) tetraaquadifluoroplatinum(IV) bromide B) tetraaquadibromodifluoroplatinate C) platinum(II)bromide D) platinum(III)tetraaquadifluorobromide E) platinum (II) dibromodifluorotetrahydride

_____ 5. Choose the chemical formula for diaquadicarbonylzinc tetrabromopalladate (IV).

A) [PdZn(H2O)2(CO)2]Br4 B) [Zn(H2O)2(CO)2]2[PdBr4] C) [Pd(H2O)2][Zn(CO)2]Br4 D) [Pd(H2O)2]2[Zn(CO)2]3Br4 E) [Zn(H2O)2(CO)2][PdBr4]

A

C

C

A

E

_____ 6. For the following balanced equation, determine the rate of reaction with respect to [H2]. N2(g) + 3 H2(g) → 2 NH3(g) A) Rate = + B) Rate = -

C) Rate = + D) Rate = -

_____ 7. Give the characteristic of a first order reaction having only one reactant.

A) The rate of the reaction is not proportional to the concentration of the reactant. B) The rate of the reaction is proportional to the square of the concentration of the reactant. C) The rate of the reaction is proportional to the square root of the concentration of the reactant. D) The rate of the reaction is proportional to the natural logarithm of the concentration of the reactant. E) The rate of the reaction is directly proportional to the concentration of the reactant

_____ 8. What is the overall order of the following reaction, given the rate law?

X + 2 Y → 4 Z Rate = k[X][Y] A) 3rd order B) 5th order C) 2nd order D) 1st order E) 6th order

_____ 9. What are the units of k in the following rate law? Rate = k[X][Y]1/2

A) M/s B) M-1s-1 C) M1/2s-1 D) M-1/2s-1

E) M-1s-1/2 _____ 10. Which of the following statements is FALSE?

A) The half life of a zero order reaction is dependent on concentration. B) The half life of a second order reaction is not dependent on concentration. C) The rate of second order reactions is dependent on concentration. D) The rate of a first order reaction is dependent on concentraion. E) None of the statements are FALSE.

E

Δ[H2]Δt

31

Δ[H2]Δt

31

Δ[H2]Δt

13

Δ[H2]Δt

13

C

D

D

B

_____ 11. The half life for the decay of radium is 1620 years. What is the rate constant for this first-order process?

A) 4.28 × 10-4 yr-1 B) 1.12 × 10-4 yr-1 C) 2.33 × 10-4 y-1 D) 8.91 × 10-4 y-1 E) 6.17 × 10-4 yr-1

_____ 12. Identify an heterogeneous catalyst.

A) CFCs with ozone B) solid Pd in H2 gas C) KI dissolved in H2O2 D) H2SO4 with concentrated HCl E) H3PO4 with an alcohol

_____ 13. Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2

A) The rate of reaction will increase by a factor of 2. B) The rate of reaction will increase by a factor of 4. C) The rate of reaction will increase by a factor of 5. D) The rate of reaction will decrease by a factor of 2. E) The rate of reaction will remain unchanged.

_____ 14. How many half-lives are required for the concentration of reactant to decrease to 12.5% of its original value?

A) 3 B) 2 C) 2.5 D) 2.75 E) 8

_____ 15. The combustion of ethylene proceeds by the reaction

C2H4(g) + 3O2 (g) → 2CO2 (g) + 2H2O(g)

When the rate of disappearance of O2 is 0.28 M s-1, the rate of appearance of CO2 is ________ M s-1.

A) 0.19 B) 0.093 C) 0.84 D) 0.42 E) 0.56

A

B

B

A

A

_____ 16. Determine the identity of the daughter nuclide from the alpha decay of Rn. A) Po B) Ra C) Th D) Rn E) At

_____ 17. Determine the identity of the daughter nuclide from the electron capture by Fe. A) Co B) Mn C) Co D) Mn

E) Cr

______ 18. The following reaction represents what nuclear process?

Pb → e + Bi

A) beta emission B) positron emission C) gamma emission D) electron capture

______ 19. Which of the following nuclides is most likely to decay via positron emission?

A) Cs-137 B) I-131 C) Al-24 D) K-42 E) N-14

A 222 86

218 84

226 88

224 90

223 86

221 85

B 55 26

55 27

55 25

56 27

54 25

51 24

A137 82

0 -1

137 83

C

Part II (~8 points each) - Show all of your calculations for full credit.

_____ 1. Aluminum crystallizes in a face centered cubic structure with an edge length of 2√2 r. The atomic radius of aluminum is 143 pm. What is the density of aluminum

_____ 2. What is the equilibrium concentration of Co2+ in s solution that is initially 0.090 M Co(NO3)2 and 0.700 M OH- after the following equilibria is established:

Co2+(aq) + 4 (OH)- (aq) ⇄ Co(OH)42- Kf = 5.0 x 109

_____ 3. Determine the rate law and the value of k for the following reaction using the data provided. S2O82⁻(aq) + 3 I⁻(aq) → 2 SO42⁻(g) + I3⁻(aq) [S2O82⁻]i (M) [I⁻]i (M) Initial Rate (M-1s-1) 0.30 0.42 4.54 0.44 0.42 6.65 0.44 0.21 3.33

Answer: 1.3 x 10-9 M

Answer: 2.71 g/cm3

Answer: Rate = 36 M-1s-1 [S2O82-][I-]

_____ 4. The first-order decomposition of N2O at 1000 K has a rate constant of 0.76 s-1. If the initial concentration of N2O is 10.9 M, what is the concentration of N2O after 9.6 s?

_____ 5. The first-order rearrangement of CH3NC is measured to have a rate constant of 3.61 x 10-15 s-1 at 298 K and a rate constant of 8.66 × 10-7 s-1 at 425 K. Determine the activation energy for this reaction.

_____ 6. The age of an ancient tree trunk is estimated using radiocarbon dating. If the trunk has a C-14 decay rate that is 34% of what it is in living plants, how old is the trunk? The half-life of C-14 is 5730 years.

Answer: 7.4 × 10-3 M

Answer: 160. kJ/mol

Answer: 8.92 × 103 years

NC

DP

I R

efer

ence

Tab

les

for

Ch

emis

try

(Oct

ober

200

6 fo

rm A

-v1)

P

age

7

AC

TIV

ITY

SE

RIE

S o

f H

alog

ens:

2F 2

Cl

2B

r

2I

AC

TIV

ITY

SE

RIE

S o

f M

etal

s L

i R

b K

B

a S

r C

a N

a M

g A

l M

n

Zn

C

r F

e C

d C

o N

i S

n

Pb

[2

H]

Sb

Bi

Cu

H

g A

g P

t A

u

Pol

yato

mic

Ion

s + 4

NH

A

mm

oniu

m

3B

rO−

B

rom

ate

CN

Cya

nid

e

23

2C

HO

3(C

HC

OO

)−

Ace

tate

4C

lO−

P

erch

lora

te

3C

lO−

C

hlo

rate

2C

lO−

C

hlo

rite

ClO

Hyp

och

lori

te

3IO

Ioda

te

4M

nO

Per

man

gan

ate

3N

O−

N

itra

te

2N

O−

N

itri

te

OH

Hyd

roxi

de

3H

CO

Hyd

roge

n c

arbo

nat

e

4H

SO

Hyd

roge

n s

ulf

ate

SC

N−

T

hio

cyan

ate

2 3C

O−

C

arbo

nat

e 2

27

Cr

O−

D

ich

rom

ate

2 4C

rO−

C

hro

mat

e 2 4

SO

Su

lfat

e 2 3

SO

Su

lfit

e 3 4

PO

Ph

osph

ate

R

eact

wit

h o

xyge

n t

o fo

rm o

xide

s

Rep

lace

hyd

roge

n f

rom

aci

ds

Rep

lace

hyd

roge

n f

rom

ste

am

Rep

lace

hyd

roge

n

from

col

d w

ater

General

Chem

istryReference

Sheet

This

reference

sheetad

dresses

someof

themorepeculiar

piecesof

inform

ationthat

needto

bemem

orized

inagen-

eral

chem

istrycourse.

Italso

containsasimple

setof

es-

sential

form

ulasin

chem

istrywithcaution

s,explanations,

andgeneral

tips.

Thissheetismeantto

beas

concise

aspossible,an

dman

yinform

ationin

thetextbook

isleft

outin

favo

rof

caution

san

dtips.

This

sheetis,therefore,

bestusedas

asupple-

mentto,not

areplacementof,thetextbook

.

SIFundamen

talUnits

Mass

Kilog

ram

(kg)

Len

gth

Meter

(m)

Tim

eSecon

d(s)

Tem

perature

Kelvin

(K)

Amou

ntof

substan

ceMole(m

ol)

Electriccu

rren

tAmpere(A

)Luminou

sintensity

Can

dela(cd)

Atomic

Experim

ents

andM

odels

J.J.

Thom

son

Discoverede�

;Cathoderay

Plum

puddingmodel

R.A.Millikan

Measuredcharge

ofe�

;Oildrop

H.Becquerel/M

.Curie

Discoveredradioactivity

E.Rutherford

Discovered↵,�,an

d�rays

Discoverednucleu

s;Goldfoilexperim

ent

J.Chad

wick

Discoveredneu

tron

sN.Boh

rBoh

rmodel

(electronorbits)

Quan

tum

mechan

icists

Quan

tum

model

Polyatomic

Ions

NH

4

+

ammon

ium

OH

�hydroxide

CN

�cyan

ide

C2

O4

2�

oxalate

O2

2�

perox

ide

CNO

�cyan

ate

HSO

4

�hydrogen

sul-

fate

C2

H3

O2

�acetate

SCN

�thiocyan

ate

NO

3

�nitrate

SO

3

2�

sulfite

ClO

4

�perchlorate

CO

3

2�

carb

onate

ClO

3

�chlorate

PO

4

3�

phosphate

ClO

�hypochlorite

S2

O3

2�

thiosulfate

HPO

4

2�

hydrogen

phosphate

CrO

4

2�

chromate

H3

O+

hydronium

Cr 2O

7

2�

dichromate

PO

3

3�

phosphite

MnO

4

�perman

ganate

Hg 2

2�

mercu

ry(I)

N3

�azide

C2

2�

carbide

C4

H4

O6

2�

tartrate

S2

2�

disulfide

O2

�superox

ide

AsO

3

3�

arsenite

PO

2

3�

hypop

hosphite

AsO

4

3�

arsenate

SiO

3

2�

silicate

P2

O7

4�

pyrophosphate

Ionic

SolubilityChart

Soluble

Exception

sNO

3

�Non

eCH

3

COO

�Non

eCl�

Ag+

,Hg 2

2+

,Pb2+

Br�

Ag+

,Hg 2

2+

,Pb2+

I�Ag+

,Hg 2

2+

,Pb2+

SO

4

2�

Sr2

+

,Ba2

+

,Hg 2

2+

,Pb2+

Insoluble

Exception

sS2�

NH

4

+

,alkali

metal

cation

s,Ca2

+

,Sr2

+

,Ba2

+

CO

3

2�

NH

4

+

,alkalimetal

cation

sPO

4

3�

NH

4

+

,alkalimetal

cation

sOH

�NH

4

+

,alkali

metal

cation

s,Ca2

+

,Sr2

+

,Ba2

+

StrongAcidsandBases

Stron

gacidsan

dbases

dissociatein

water

completely.

Stron

gAcids

Stron

gBases

HCl

HClO

4

Alkalimetal

hydroxides

HBr

HNO

3

Ca(OH) 2

HI

H2

SO

4

Sr(OH) 2

HClO

3

Ba(OH) 2

ActivitySeries

Metalsbelow

H+

cannot

reactwithacidsto

form

H2

.More

active

metalsarebetterreducingag

ents.

Fro

mmost

activeto

least

active:

Li+,K

+

,Ba2

+

,Ca2

+

,Na+

,Mg2

+

,Al3

+

,Mn2+

,Zn2+

,Cr3

+

,Fe2

+

,Co2

+

,Ni2

+

,Sn2+

,Pb2+

,H

+

,Cu2+

,Ag+

,Hg2

+

,Pt2

+

,Au3+

FlameColors

Calcium

Brick

red

Cop

per

(I)

Blue

Cop

per

(II)

Green

orblue-green

Potassium

Lilac

Lithium

Darkred

Sodium

Brigh

tyellow

Stron

tium

Red

Barium

Lightgreen

Iron

(III)

Gold

Cesium

Blue–Violet

Indium

Blue

Lead

Blue

Rubidium

Red

–Violet

Phase

Changes

From

solid

From

liquid

From

gas

Tosolid

-freezing

dep

osition

Toliquid

melting

-conden

sation

Toga

ssublimation

vaporization

-

SolutionColors

Cop

per

(II)

Blue

Nickel

Green

Perman

ganate

Purple

Chromate

Yellow

Dichromate

Orange

Iron

(II)

Lightblue

Iron

(III)

Rustyyellow

Thermodynamic

Law

sFirst

Law:Energy

cannot

becreatednor

destroyed

.It

canon

lybetran

sferredin

theform

ofeither

heator

work.

Seco

ndLaw:Anysp

ontaneousreaction

increasestheen

-trop

yof

theuniverse.

Third

Law:Anidealsolidcrystal

at0K

has

anen

trop

yof

0.

Thermodynamic

Form

ulas

Standardthermodynam

icconditions

298K;1atm;1M

Kinetic

energy

K=

mv2

/2

Electrostatic

potential

energy

UE=

(kCQ

1

Q2

)/d

Internal

energy

�E

=q+

wEnthalpy

H=

E+

PV

Specificheat

s=

q/(m

·�T)

Entrop

yin

reversible

reaction

�Ssystem

=(�

H)/T

�Ssurrounding

=�(�

H)/T

Microstate-entrop

yrelation

ship

S=

kln

WGibbsfree

energy

G=

H�

TS

Gibbsfree

energy

chan

ge�G

=�H

�T�S

�G

=�G

�+

RTln

QHess’sLaw

�H

total

=⌃�H

i

Constants

Boltzman

n’s

constan

tkB=

1.38

1⇥

10�23

m2

kg·s

�2

K�1

Cou

lomb’s

constan

tkC=

1/(4⇡✏ 0)=

8.98

8⇥10

9

J·m

/C2

Avo

gadro’s

number

NA=

6.02

2⇥

1023

mol

�1

Farad

ay’s

constan

tF

=9.64

9⇥

104

C/m

olPlanck’s

constan

th=

6.62

6⇥

10�34

J·s

Idealga

sconstan

tsR

=0.08

21(L

·atm

)/(m

ol·K

)R

=8.31

4J/

(mol

·K)

Vacuum

permittivity✏ 0

=1/

(µ0

c2)=

8.85

4⇥

10�12

F/m

Vacuum

permeability

µ0

=1.25

7⇥

10�6

N·A

�2

Atomic

mass

1am

u=

1.66

1⇥

10�24

gElectroncharge

e=

1.60

2⇥

10�19

CElectronvo

lt1eV

=1.60

2⇥

10�19

JAtm

ospheric

pressure

1atm

=1.01

3⇥

105

Pa

Absolute

zero

0K

=-273

.15

�C

Speedof

ligh

tin

vacu

um

c=

2.99

8⇥

108

m/s

Quantu

mM

echanicalForm

ulas

Energy

ofaquan

tum

E=

h⌫

Wavelen

gth-frequen

cyrelation

ship

c=⌫·�

Probab

ilitydistribution

PV

=RR

R

V

| (x,y,z)|2

dxdydz

General

Chem

istryReference

Sheet

This

reference

sheetad

dresses

someof

themorepeculiar

piecesof

inform

ationthat

needto

bemem

orized

inagen-

eral

chem

istrycourse.

Italso

containsasimple

setof

es-

sential

form

ulasin

chem

istrywithcaution

s,explanations,

andgeneral

tips.

Thissheetismeantto

beas

concise

aspossible,an

dman

yinform

ationin

thetextbook

isleft

outin

favo

rof

caution

san

dtips.

This

sheetis,therefore,

bestusedas

asupple-

mentto,not

areplacementof,thetextbook

.

SIFundamen

talUnits

Mass

Kilog

ram

(kg)

Len

gth

Meter

(m)

Tim

eSecon

d(s)

Tem

perature

Kelvin

(K)

Amou

ntof

substan

ceMole(m

ol)

Electriccu

rren

tAmpere(A

)Luminou

sintensity

Can

dela(cd)

Atomic

Experim

ents

andM

odels

J.J.

Thom

son

Discoverede�

;Cathoderay

Plum

puddingmodel

R.A.Millikan

Measuredcharge

ofe�

;Oildrop

H.Becquerel/M

.Curie

Discoveredradioactivity

E.Rutherford

Discovered↵,�,an

d�rays

Discoverednucleu

s;Goldfoilexperim

ent

J.Chad

wick

Discoveredneu

tron

sN.Boh

rBoh

rmodel

(electronorbits)

Quan

tum

mechan

icists

Quan

tum

model

Polyatomic

Ions

NH

4

+

ammon

ium

OH

�hydroxide

CN

�cyan

ide

C2

O4

2�

oxalate

O2

2�

perox

ide

CNO

�cyan

ate

HSO

4

�hydrogen

sul-

fate

C2

H3

O2

�acetate

SCN

�thiocyan

ate

NO

3

�nitrate

SO

3

2�

sulfite

ClO

4

�perchlorate

CO

3

2�

carb

onate

ClO

3

�chlorate

PO

4

3�

phosphate

ClO

�hypochlorite

S2

O3

2�

thiosulfate

HPO

4

2�

hydrogen

phosphate

CrO

4

2�

chromate

H3

O+

hydronium

Cr 2O

7

2�

dichromate

PO

3

3�

phosphite

MnO

4

�perman

ganate

Hg 2

2�

mercu

ry(I)

N3

�azide

C2

2�

carbide

C4

H4

O6

2�

tartrate

S2

2�

disulfide

O2

�superox

ide

AsO

3

3�

arsenite

PO

2

3�

hypop

hosphite

AsO

4

3�

arsenate

SiO

3

2�

silicate

P2

O7

4�

pyrophosphate

Ionic

SolubilityChart

Soluble

Exception

sNO

3

�Non

eCH

3

COO

�Non

eCl�

Ag+

,Hg 2

2+

,Pb2+

Br�

Ag+

,Hg 2

2+

,Pb2+

I�Ag+

,Hg 2

2+

,Pb2+

SO

4

2�

Sr2

+

,Ba2

+

,Hg 2

2+

,Pb2+

Insoluble

Exception

sS2�

NH

4

+

,alkali

metal

cation

s,Ca2

+

,Sr2

+

,Ba2

+

CO

3

2�

NH

4

+

,alkalimetal

cation

sPO

4

3�

NH

4

+

,alkalimetal

cation

sOH

�NH

4

+

,alkali

metal

cation

s,Ca2

+

,Sr2

+

,Ba2

+

StrongAcidsandBases

Stron

gacidsan

dbases

dissociatein

water

completely.

Stron

gAcids

Stron

gBases

HCl

HClO

4

Alkalimetal

hydroxides

HBr

HNO

3

Ca(OH) 2

HI

H2

SO

4

Sr(OH) 2

HClO

3

Ba(OH) 2

ActivitySeries

Metalsbelow

H+

cannot

reactwithacidsto

form

H2

.More

active

metalsarebetterreducingag

ents.

Fro

mmost

activeto

least

active:

Li+,K

+

,Ba2

+

,Ca2

+

,Na+

,Mg2

+

,Al3

+

,Mn2+

,Zn2+

,Cr3

+

,Fe2

+

,Co2

+

,Ni2

+

,Sn2+

,Pb2+

,H

+

,Cu2+

,Ag+

,Hg2

+

,Pt2

+

,Au3+

FlameColors

Calcium

Brick

red

Cop

per

(I)

Blue

Cop

per

(II)

Green

orblue-green

Potassium

Lilac

Lithium

Darkred

Sodium

Brigh

tyellow

Stron

tium

Red

Barium

Lightgreen

Iron

(III)

Gold

Cesium

Blue–Violet

Indium

Blue

Lead

Blue

Rubidium

Red

–Violet

Phase

Changes

From

solid

From

liquid

From

gas

Tosolid

-freezing

dep

osition

Toliquid

melting

-conden

sation

Toga

ssublimation

vaporization

-

SolutionColors

Cop

per

(II)

Blue

Nickel

Green

Perman

ganate

Purple

Chromate

Yellow

Dichromate

Orange

Iron

(II)

Lightblue

Iron

(III)

Rustyyellow

Thermodynamic

Law

sFirst

Law:Energy

cannot

becreatednor

destroyed

.It

canon

lybetran

sferredin

theform

ofeither

heator

work.

Seco

ndLaw:Anysp

ontaneousreaction

increasestheen

-trop

yof

theuniverse.

Third

Law:Anidealsolidcrystal

at0K

has

anen

trop

yof

0.

Thermodynamic

Form

ulas

Standardthermodynam

icconditions

298K;1atm;1M

Kinetic

energy

K=

mv2

/2

Electrostatic

potential

energy

UE=

(kCQ

1

Q2

)/d

Internal

energy

�E

=q+

wEnthalpy

H=

E+

PV

Specificheat

s=

q/(m

·�T)

Entrop

yin

reversible

reaction

�Ssystem

=(�

H)/T

�Ssurrounding

=�(�

H)/T

Microstate-entrop

yrelation

ship

S=

kln

WGibbsfree

energy

G=

H�

TS

Gibbsfree

energy

chan

ge�G

=�H

�T�S

�G

=�G

�+

RTln

QHess’sLaw

�H

total

=⌃�H

i

Constants

Boltzman

n’s

constan

tkB=

1.38

1⇥

10�23

m2

kg·s

�2

K�1

Cou

lomb’s

constan

tkC=

1/(4⇡✏ 0)=

8.98

8⇥10

9

J·m

/C2

Avo

gadro’s

number

NA=

6.02

2⇥

1023

mol

�1

Farad

ay’s

constan

tF

=9.64

9⇥

104

C/m

olPlanck’s

constan

th=

6.62

6⇥

10�34

J·s

Idealga

sconstan

tsR

=0.08

21(L

·atm

)/(m

ol·K

)R

=8.31

4J/

(mol

·K)

Vacuum

permittivity✏ 0

=1/

(µ0

c2)=

8.85

4⇥

10�12

F/m

Vacuum

permeability

µ0

=1.25

7⇥

10�6

N·A

�2

Atomic

mass

1am

u=

1.66

1⇥

10�24

gElectroncharge

e=

1.60

2⇥

10�19

CElectronvo

lt1eV

=1.60

2⇥

10�19

JAtm

ospheric

pressure

1atm

=1.01

3⇥

105

Pa

Absolute

zero

0K

=-273

.15

�C

Speedof

ligh

tin

vacu

um

c=

2.99

8⇥

108

m/s

Quantu

mM

echanicalForm

ulas

Energy

ofaquan

tum

E=

h⌫

Wavelen

gth-frequen

cyrelation

ship

c=⌫·�

Probab

ilitydistribution

PV

=RR

R

V

| (x,y,z)|2

dxdydz

apce

ntra

l.col

lege

boar

d.co

m15

apce

ntra

l.col

lege

boar

d.co

m15

16ap

cent

ral.c

olle

gebo

ard.

com

16ap

cent

ral.c

olle

gebo

ard.

com

• R

ate

= k

[A]0

= k

 co

nst

an

t ra

te r

ea

cti

on

s

• [A

] =

-kt

+ [

A] 0

• g

rap

h o

f [A

] v

s. t

ime

is s

trai

gh

t li

ne

wit

h

slo

pe =

-k

an

d y

-in

tercep

t =

[A

] 0

• t ½

= [

A0]/

2k

• w

hen

Ra

te =

M/s

ec, k

= M

/sec

[A] 0

[A]

tim

e

slope =

- k

• R

ate

= k

[A]0

= k

 con

stan

t rate

reacti

on

s

• [A

] =

-kt

+ [

A] 0

• gra

ph o

f [A

] vs.

tim

e i

s st

raig

ht

line w

ith

slop

e =

-k a

nd

y-i

nte

rcep

t =

[A

] 0

• t ½ =

[A

0]/

2k

• w

hen

Rate

= M

/sec, k =

M/s

ec

[A] 0

[A]

tim

e

slo

pe =

- k

Fir

st O

rder

Rea

ctio

ns

• R

ate

= k

[A]

• ln

[A]

= -kt

+ l

n[A

] 0

• g

rap

h l

n[A

] v

s. t

ime

giv

es s

trai

gh

t li

ne

wit

h

slo

pe

= -

k a

nd

y-i

nte

rcep

t =

ln

[A] 0

 u

sed t

o d

eter

min

e th

e ra

te c

onst

ant

• t ½

= 0

.69

3/k

• th

e h

alf

-lif

e o

f a

fir

st o

rder

rea

ctio

n i

s co

nst

an

t

• th

e w

hen

Ra

te =

M/s

ec, k

= s

ec-1

Fir

st O

rder

Reacti

on

s

• R

ate

= k

[A]

• ln

[A]

= -kt

+ l

n[A

] 0

• gra

ph l

n[A

] vs.

tim

e g

ives

stra

ight

line w

ith

sl

op

e =

-k

and

y-i

nte

rcep

t =

ln

[A] 0

 u

sed

to d

ete

rmin

e t

he r

ate

con

stant

• t ½

= 0

.693

/k

• th

e h

alf

-lif

e o

f a

fir

st o

rd

er r

eacti

on

is

con

sta

nt

• th

e w

hen

Rate

= M

/sec, k =

sec

-1

• R

ate

= k

[A]2

• 1/[

A]

= k

t +

1/[

A] 0

• gra

ph 1

/[A

] vs.

tim

e giv

es s

trai

ght

line

wit

h

slop

e =

k a

nd y

-in

tercep

t =

1/[

A] 0

 u

sed t

o d

eter

min

e th

e ra

te c

onst

ant

• t ½

= 1

/(k

[A0])

• w

hen

Rate

= M

/sec, k =

M-1·s

ec

-1

• R

ate

= k

[A]2

• 1

/[A

] =

kt

+ 1

/[A

] 0

• g

rap

h 1

/[A

] v

s. t

ime

giv

es s

trai

gh

t li

ne

wit

h

slo

pe =

k a

nd

y-i

nte

rcep

t =

1/[

A] 0

 u

sed

to

det

erm

ine

the

rate

co

nst

ant

• t ½

= 1

/(k

[A0])

• w

hen

Ra

te =

M/s

ec, k

= M

-1·s

ec

-1

Ra

te L

aw

s

In

teg

rate

d R

ate

La

ws

Ha

lf-l

ife

form

ula

t ½ =

[A0]

/2k

t ½ =

0.69

3/k

t ½=

1/(k

[A0]

)

ln[N

] t =

-k

t +

ln

[N] 0

ln[N

] t -

ln

[N] 0

= -

kt

[N] t

= [

N] 0

x e

-kt

Eº ce

ll = E

º cath

odee

- E

º ano

de

Eº ce

ll = E

º red

+ Eº o

xid

1.00

A =

1 C

/sec

KIN

ET

ICS


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