Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Gas Pressure and Properties, Exams of Chemistry

Problems related to calculating gas pressures, identifying gas states, and determining gas properties such as molar mass, root-mean-square velocity, and enthalpy of vaporization. It also covers topics like Charles's law and the ideal gas law.

What you will learn

  • What is the enthalpy of vaporization of a compound with a vapor pressure of 157 mmHg at 253 K and 0.358 mmHg at 191 K?
  • How many moles of gas are in a sample occupying 1.17 L at 298 K and 623 mmHg?
  • What is the new pressure of a gas heated to 35°C if the initial pressure was 1 atm?
  • What is the pressure of a 23.2-L gas sample containing 4.76 mol of gas at 42.0°C?
  • What is the root-mean-square velocity for 02 molecules in a sample of 02 gas at standard temperature and pressure?

Typology: Exams

2021/2022

Uploaded on 09/12/2022

ekambar
ekambar 🇺🇸

4.7

(23)

265 documents

1 / 8

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
rlI
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
r
I
I
I
I
I
I
I
-
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
+
o
!a
@
o
z
o
a
m
=
9
!
N
o
!
f.
)
o
5
c
'I
A O N'{
@o\oo5@NdO
-l
Zm
O(,)
' -..t
N)
i- tg @ { or 6 F o N o 6 ! o 5 a o N)
N.cE NtD'N- fit {Dt *w }o *,tn NtD N!r' *t t@ NF Nc, .t l(F Noo -t lqt Noo
.o 6o,oo,.,6 ocr oo oo'.o -o .cr }o oo -o]1.,,|c: .a, |}., )a oo oo
Fo sig \g,.:o 5'O oolfoilO.iOllo 5(, 5O sU s0 5o as 50 5o FE, F0
t-|,.1.-'1- ;m omtg. gm om om omiom om om om om om sm --!}m
oT oT eT oT OT OT OT OA OT OT OT OT Oi OT OT OT OT Oi OT OT
{6) {O !O {O {O !O {O !O !O {O !O !O !O {O !O !O !O {O \O {O
@I @- @I @- @I @I 6X @- @I @- @I @I oI @- @I @- oI @I o- @I
@- @- @- @- @- @- @- @- @- @- @- @- @- o- @- @- @- @- @- @-
:.i.aLi.
oE 6LOLOLoLOC-L-LOLOLoLOLOLoLOgOgog
s q) o o o o q, 1, o ."J sJ I$ N N n N N r,! N t!
666d
'u@'po *w N@ tNE N(D Nctt pE :ruo,-o .tr lfo y@ |N@,N(r, rN@ luco $o *o *o
oo @C) oC) oc)loc) o.)lo() ao oo oo oo -ar*a*-*a'.at. -()l() oc)
ao 5c, ao a9:5o 50 59 5o 5o a0 og 5o 50 a(, sg:59 5tJ 59 $0 5o
ofi omro.m 6maofi lom om:om qm i"m om:qm om om --*m om'oil om om
o T o T io a o T o T o T o T o T o T,o.T:o T;o T ro I r'o I o T o T o T o T o T o T
{O {O:!.6, {O !O'{6) {O,*O !O,{Or{O:!Or!O {O {6) {O rO {O {O !O
@I @I @- oI @I @I @I @I @- 6I oI @- oI @I @I @I @I @I oI @I
@- @- @- @- @- @- @- @- @- @- @- @- @- @- @- @- @- @- @- @-
dL 3L;L 3q -;q;L 6L;;LE;c:;L 3c;L aic a;L;;L dq dL;L 5q;L
6) q 6 5 5 5 5 (5 6 5 (t F l> F F E F 5 5 F
666
- to ,- @ .N @ N ED lN qt N w N (It ,N,@ N cD * o '- q, N cD lN (p * o N (70 N ED N EE N EO N ED :N E
.o,c),oc) ra() -.o'oo'oc) 10C) :oo o.() oC) oo o(),oc) f@o :or) oC) oc) oC) oo,ao
o,u so.a(, 5c, 5f, Fo 50.5o 5!, 5o 5o 5ff $ct 5o 5o 58, 5o 5o 5g'5o
omlom,9m qm om om om om om,o,a ;1,- i6m:o-m:om iom 6m om om om om
on otr oT oT oT oT oT oT OT OT OA OT OT Oa OT Ot OT OT Oa OT
-'...-...
rO !O !O r{O {O !O {O {O.{Oi!:O'!O'{O,*O l!O'!O {O'rO :!O !O {O
@- 6- @I @I @I @,I @I oI @- oI @I :-'-'I.@I @I',@I oIr@f,E @I oI
a- -- @-:@- @- a-'-- o- .- @- @- @-'@-.o-'o- @- @- @- @- @-
dL dL;L 6L;;L;c eq 3L;L 6L 6L;L 6c:L aic 6L eL Eic dL 6L
h
'r
r*
T
:
N
I
3
m
ts
{tt
{-
MT
T*"
T<
rhX
I'i
={
t-{
lm
I (/)h
I -'r\.
I a ^
I C){.
I s6
I al-,
l=$
tg1
U,M
HF
=V)
z.
2 4 #
f,r2m
c b{
c'l d
-l :D
o>
z | <--
@ I c
ol i
z ltil \
e lx 6,
o l.}- )()
m li \
N) 15
l-"o
t-E
IA
lc$
pe*c
>+l
c\l
L5 I
0t
F3l
dcl
ilel H
ft-
N
!-
c :o { 6 o & o N J O
@ @ { o q a - * -f
@ o { o o $ - *'-f
@ @ { o 6 a " * -€
@ 6 { @ o s o.u,*d
@ 6 ! o u s. * -{
6 q { o s E o ro -fi
@@{ooF.*-il
6@{ooaep*l
b6
-l
c
0
m
z
-t
z
c
ut
aTl
f,t
3
11
l!
f"r
tr\
q F.,*::6,:.1'.F a N r,:r) <. x. {it<:7'4 y I O t O .7 E:-'x.L.- I o r m o o @ >
@ @ 1{ o .o s o N J o N < x .< c I a r O T o z =' .- x L - - o r m tf o B >
sr:@:{ o ff s,o:u - o I * x €.: a i-*.r o t o z 4,r N c * r 6) n m:t: o E >
o o r o o 5 - f.- o N <,x €< c 1 ?.v O a.O.z=- x L - T o a m o o o >
@:F,{:o o F.o N.r;o N <,tX,'€ < e 4.o r.O !.O z =r x L * 5 O i m:(f o o >
. -1.. o o's o N J o N < I . a'1'' r o !.'.o,:= =l x . - r o n m olt o
-,.,.*iao.so,x,*ery.,<..x€<c.:.1a ;?,:r,a,i"1.g:;:.2'er:,'v:c*|cr-am.ooE>
@ @ { o o F @ N r o N < x < c i a r O r O =i- x L - r O T m o o tr >
o
o
c
fr
a
m
z
@
rrl
u
\
+
?
pf3
pf4
pf5
pf8

Partial preview of the text

Download Gas Pressure and Properties and more Exams Chemistry in PDF only on Docsity!

rlI

I I I I I I I I I I I I I I I I I r I I I I I I I

  • I

I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

!^ o a o^ @ zo a m =

9 !

N o !f.

o 5 c'I

A O N'{ @o\oo5@NdO

-lZm O(,)

' -..t

N) i- tg @ { or 6 F o N o 6 €! o 5 a o N)

N.cE NtD'N- fit {Dt *w }o *,tn NtD N!r' *t t@ NF^ Nc,^ .t^ l(F Noo^ -t lqt Noo

.o 6o,oo,.,6 ocr oo oo'.o -o .cr }o oo^ -o]1.,,|c: .a,^ |}., )a oo^ oo

Fo sig \g,.:o 5'O oolfoilO.iOllo 5(, 5O sU^ s0^ 5o^ as^50 5o^ FE,^ F

t-|,.1.-'1- ;m^ omtg.^ gm^ om^ om^ omiom^ om^ om^ om^ om^ om^ sm^ --!}m

oT oT eT oT OT OT OT OA OT OT OT OT^ Oi^ OT^ OT^ OT^ OT^ Oi^ OT^ OT {6) {O !O {O {O !O {O !O !O {O !O !O^ !O^ {O^ !O^ !O^ !O^ {O^ \O^ {O @I @- @I @- @I @I 6X @- @I @- @I @I^ oI^ @-^ @I^ @-^ oI^ @I^ o-^ @I @- @- @- @- @- @- @- @- @- @- @-^ @-^ @-^ o-^ @-^ @-^ @-^ @-^ @-^ @- oE 6LOLOLoLOC-L-LOLOLoLOLOLoLOgOgog :.i.aLi.

s666d q)^ o^ o^ o^ o^ q,^ 1, o^ ."J^ sJ^ I$^ N N n N N^ r,!^ N^ t!

'u@'po *w N@ tNE N(D Nctt pE :ruo,-o .tr lfo y@ |N@,N(r, rN@ luco $o *o *o

oo @C) oC) oc)loc) o.)lo() ao oo^ oo^ oo^ -ara-*a'.at. -()l() oc)

ao 5c, ao a9:5o 50 59 5o 5o^ a0^ og^ 5o^50 a(,^ sg:59^ 5tJ^59 $0^ 5o

ofi omro.m 6maofi lom om:om qm^ i"m^ om:qm^ om^ om^ --*m om'oil^ om^ om

o T o T io a o T o T o T o T o T o T,o.T:o T;o T^ ro I^ r'o I^ o T^ o T^ o T^ o T^ o T^ o^ T

{O {O:!.6, {O !O'{6) {O,*O !O,{Or{O:!Or!O {O^ {6)^ {O^ rO^ {O^ {O^ !O

@I @I @- oI @I @I @I @I^ @-^ 6I^ oI^ @-^ oI^ @I^ @I^ @I^ @I^ @I^ oI^ @I @- @- @- @- @- @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @-^ @- dL 3L;L 3q -;q;L^ 6L;;LE;c:;L 3c;L aic^ a;L;;L^ dq^ dL;L^ 5q;L

  1. 666 q^6 5 5 5 5 (5^6 5 (t^ F l> F^ F E F^5 5 F
  • to^ ,-^ @ .N^ @^ N^ ED^ lN^ qt^ N w^ N (It^ ,N,@^ N^ cD^ *^ o^ '- q,^ N cD lN^ (p^ ^ o^ N (70 N ED N EE N EO N^ ED^ :N^ E .o,c),oc) ra()^ -.o'oo'oc) 10C)^ :oo^ o.()^ oC)^ oo^ o(),oc)^ f@o^ :or)^ oC)^ oc)^ oC)^ oo,ao o,u so.a(, 5c,^ 5f,^ Fo^ 50.5o^ 5!,^ 5o^ 5o^ 5ff^ $ct^ 5o^ 5o^ 58,^ 5o^ 5o^ 5g'5o omlom,9m qm^ om^ om^ om^ om^ om,o,a^ ;1,- i6m:o-m:om^ iom^ 6m^ om^ om^ om^ om on-'...-... otr^ oT^ oT^ oT^ oT^ oT^ oT^ OT^ OT^ OA^ OT^ OT^ Oa^ OT^ Ot^ OT^ OT^ Oa^ OT rO !O !O^ r{O {O^ !O^ {O^ {O.{Oi!:O'!O'{O,O^ l!O'!O {O'rO^ :!O^ !O^ {O @- 6-^ @I^ @I^ @I^ @,I^ @I^ oI^ @-^ oI^ @I^ :-'-'I.@I @I',@I^ oIr@f,E^ @I^ oI a- (^) -- @-:@-^ @-^ a-'--^ o- .- @- @- @-'@-.o-'o- @- @- @- @- @-

dL dL;L 6L;;L;c eq^ 3L;L^ 6L^ 6L;L^ 6c:L^ aic^ 6L^ eL^ Eic^ dL^ 6L

h 'r r* T : N

I

3 m

ts

{tt

{- MT T*"

T<

rhX I'i

t-{ lm I (/)h I -'r. I a^ ^

I C){.

I s

I al-,

l=$ tg € U,M HF =V)z. 2 4 # f,r2m c (^) b{ c'l (^) d -l :D o> z | <-- @ (^) I c ol i z (^) ltil
e lx 6, o l.}- )()

m li \

N) 15 l-"o t-E IA lc$ pe*c

>+lc\l

L5 (^) I 0t F3l dcl

ilel H ft- N !-

c :o { 6 o & o N J^ O @ @ {^ o^ q^ a^ - *^ -f @ o^ {^ o^ o^ $^ - *'-f @ @ { o 6 a (^) " * (^) -€

@ 6 {^ @^ o^ s^ o.u,*d

@ 6! o u s. * (^) -{ 6 q {^ o s^ E o^ ro^ -fi @@{ooF.-il 6@{ooaepl

b

-lc

0 m

z

-t

z c ut aTl f,t

3 11

l!

f"r

tr\

q F.,*::6,:.1'.F a N r,:r)^ <. x. (^) {it<:7'4 y I O t O (^) .7 E:-'x.L.- I o r^ m^ o o @ > @ @ (^) 1{ o (^) .o s o N J^ o N < x (^) € (^) .< c I a r O T o z (^) =' .- x L^ - - o r^ m^ tf o B^ > sr:@:{ o^ ff^ s,o:u^ - o^ I ^ x^ €.: a^ i-.r o^ t^ o^ z^ 4,r^ N^ c^ *^ r^ 6)^ n^ m:t:^ o^ E^ > o o r o o (^5) - (^) f.- o N <,x (^) €< c (^1) ?.v O a.O.z=- x L^ - T^ o a^ m^ o o o^ > @:F,{:o o^ F.o^ N.r;o^ N^ <,tX,'€^ <^ e^ 4.o^ r.O^ !.O^ z^ =r x^ L^ *^5 O^ i^ m:(f^ o^ o^ >

. (^) -1.. o o's o N J^ o N < (^) I €. a'1'' r o !.'.o,:= (^) =l x.^ - r o n^ m^ olt o -,.,.iao.so,x,ery.,<..x€<c.:.1a ;?,:r,a,i"1.g:;:.2'er:,'v:c*|cr-am.ooE> @ @ { o o F @ N r^ o N < x (^) € < c i a r O r O (^) =i- x L^ - r^ O T^ m^ o o^ tr^ >

o o c a^ fr m z

@ rrl u

\

?

Chem 112 Exam 1 Version A

o2lt6lzOtL

t. The pressure^ of^ a^ certain^ gas is^ measured^ to units of pascals?^ (1^ atm=1.01325^ x a) 2.963^ x^ 10-s^ Pa b) 2.565^ x^ !O7^ Pa c) 3.043 x^ LOs Pa

The volume of a gas^ sample varies directly with the^ absolute^ temperature.

The volume of a gas^ varies^ proportionally with the^ pressure.

All gas^ samples of the^ same^ volume^ at^ STP^ contain the^ same^ number^ of^ molecules.

All gas^ samples of the^ same^ volume at^ STP^ contain the^ same^ number of^ atoms.

  1. (^) A27 .O-Lsample of nitrogen at 7.85 atm and 27"C^ is^ simultaneously^ expanded^ to^ 63.4^ L^ and

a)

q

d)

e)

  1. What^ is^ the^ pressure^ of^ a^ 23.2-L gas^ sample^ containing 4.76^ mol^ of^ gas^ at^ 42.0"C?^ (R =^ 0.0821"^ L . (^) atm/(K.^ mol), l- atm (^) = 760 mmHg)

l-

(>

c'-

heated to 35'C. What is the new pressure^ of^ the^ gas? a) 4.33 atm b) 168 atm^

{ (^) 1: '1-l :l

@

;;',;; (^) P, --^ I t?.J-. -i, -_^ >1"L; 3 cc"(-

How many moles^ of^ gas^ are in^ a gas^ sample^ occupying^ 1,.17^ L^ aL623 mmHg and^298 K?

a) 3.70 mol (^) a, / d)^ l-6.e^ mol^ ; = [,'" 7n) ( (^) t']?l fbt1 0.0593^ mot^ fr^ -*^ .I:--^ e)^ 45.1mol^ A- '-^

/'1 (^) - ----*

Tf ;.;;;;;;"r

r<-f t, --'r i^

-o (^) c.rtYattrc

, --^ (ci7,,.)(^ ''17\

: (^) l-::z^yr-su Calculate the root-mean-square uelocity for the 02 molecules in^ a^ sample of^ 02 gas^ atfl.S"C.

Spring 2011

10:00am/Odago, M.^ O.

be 253.1 mmHg. What is this pressure expressed^ in

s Pa and

d)

@

760mmHg = 1 atm)

3.287 x^ 10-6 Pa

3.374 x^104 pa

d) 6.98 x e) L.43 x -+16 X 6.01a,_=--- x3i

''L

d) condensation

e) vaporization

l.o atm^ =

353"!,tlr

1 bo^ *t"rtl

,€

: I"Oill!f,tof.r

X ic.tyv.^ Xl,sllt

Y.?

B.^814 xll Pq.

t-\ (^) =

'(,v o 1r (^) i;

?=' PJ',1*R

l/-. j^ t

? '3'!t

  1. Whichof the following^ is a^ correct^ statement of^ Charles's^ l^*,^ L^ : p' T

The pressure of a gas^ sample varies inversely^ with^ the volume.

(_,

5.31 mmHg rt /) _

5.38 x^ L02 mmHg f'v

^ {<^ I

4.O3x103mmHg A nQl

r*_1-

212atm V^ :. = 6,3 '+ 3.26atm (^) f z- 2. "l z-t 30 t

10-3 mmHg

102 mmHg

. (^) 5.'JO6ofwr

a) b)

Iil

_g

(R (^) = 8.3145 J/Kmol) (^) r--:--- a) !32.4m/s (^) -r1- .=,l^ '+t

d) 277.1-m/s b) 15.18^ m/s^ ^ w\ e)^ 9.140^ x^ 1,026^ m/s

what is the name for the following^ pr'.r"^ .h.)n?Jih?;^ iffp;"t^ when lr(/)^ )^ lz(s)?

a) b) TN

melting

sublimation

freezing

13. Below^ is^ a phase^ diagram,for^ a^ substance.

t is the^ name^ for^ point^ Z^ on^ the^ diagram?

normal boiling Point.

boiling point.

melting point.

criticalpoint.

triple point.

Why does hydrogen^ fluoride^ has^ an^ unusually^ high^ normal boiling^ point^ compared^ to the other

hydrogen halides?

a) The H-F bond in hydrogen^ fluoride^ is^ very strong. -bn Hydrogen^ fluoride^ is^ capable^ of^ forming^ hydrogen^ bonds' "i)' (^) Hydrogen fluoride has very strong London dispersion forces' d) Hydrogen fluoride^ is^ ionic. e) Hydrogen fluoride^ is^ covalent.

When a water molecule forms a^ hydrogen bond^ with^ another^ water^ molecule, which atoms^ are

involved in the interaction?

a) A hydrogen from^ one molecule^ and^ a^ hydrogen^ from^ the^ other^ molecule. fl6-l A^ hydrogen^ from^ one molecule^ and an oxygen^ from^ the^ other^ molecule, T An^ oxygen^ from^ one molecule^ and an oxygen^ from the other^ molecule. d) Two hydrogens^ from^ one molecule^ and one oxygen^ from the other^ molecule. e) Two^ hydrogens^ from^ one molecule^ and^ one hydrogen^ from the other^ molecule.

Wha

a) b) c) rdil e)

L4,

b

p,

16. Which of^ the following^ is^ an^ ionic^ solid?

a) Na(s)

til csF(s)

c) Co2(s)

1 o.J^

r tl'-f ":;bs

?5:,;tr

fM*

/"w-d

-2{ 1

t1}'l)ku' '"'*n

''')'?^

l" o1^ Xcl J^ ^

_------=2-^?

5'8'?'lr-"

r'"^

i (^) Ao' 35*

?,

d)

e)

d)

\il

Sioz(s)

Ne(s)

1.50 g/cm

t2.O g/cm

Which one of the following^ statements about^ solid^ Cu^ (face-centered cubic^ unit^ cell)^ is

incorrect?

a) lt will conduct electricity. iEX There^ are^ two^ atoms per^ unit^ cell. "O The number of atoms surrounding^ each^ Cu^ atom^ is 12. d) The^ solid^ has a^ cubic closest-packed^ structure. e) The length of a face diagonal is^ four^ times^ the^ Cu^ radius. The metal palladium^ crystallizes in^ a^ face-centered cubic lattice^ with^ an edge^ length of 388' pm. (^) What is the density of palladium? a) 6.01glcm b) o.752 g/cm c) 3.01glcm

$". '^ [<''d="*s^

v'lOb'

qa

^Z;r[3=.",.

;:^ 'l-^ c1^ |^ X*u^5

\r\u,^.*,r

: ( eat'tf-

. -l_ _ h^{^ =

Ae"-te'

z

uir**

3r


l

t

Mr^l! :^4 a'h"*i

2r.

bc,

II)

The metal chromium^ crystallizes^ in^ a^ body-centered^ cubic^ lattice.^ lf^ the^ density of chromium^ is^ *-z-"L 7.1_4gfcm3,whatistheunitcelledgelength? iV .: (^) r\ (^) ., "lA?SX,.u 1

#, i;3;il^

o* ? :l^ lii:il^ \ F

. r.GI-:., -T ";^ B

77'opm,\{!(=

?€., (^) = l.rlrs^;}', , t=q;H:.1;t:r"-* The metal cesium crystallizes in^ a^ body-centered^ cubic^ lattice.^ lf thd density of^ cesium^ is^ 1.88^ --J{" g/r^t, what is the unit cell volume? a) 1.17^ x^108 pm3^ d)^ 4.70^ x^ 1oo^ Pm' b) 2.35^ x^100 pmt^ o (^) - --^ ,*,/ e)^ 1.77^ x^ lo6^ pm -m (^) 2'35x10'Pm' ,""il (^) +

The volume of a sample of^ gas measured at 25.0'C^ and^ 1.00^ atm^ pressure^ is^ 10.0^ L.^ What^ must

the final temperature be^ in order for^ the^ gas^ to^ have^ a^ final volume of^ 7.5^ L^ at^ 1.00^ atm

!i"""'"luu". T,^

-:,zi,a{(.iL (^) 1- d. (^) -3s.c Il =

{z-

E -?9^ -c ?,'=^

I (^) ^+'-^ P, (^) -- i"u'l."l^ e' 1e"c^ J -i , 't^ , -c' (^) -4s"c V{ -.{LloL^ rri.rl.iu. l--fd- f+r7T An empty 2.0 L soda bottle is tightly capped atzl"Cand^ 650 mmHg.^ tf^ the^ bXttle^ is^ pkt6i^ in-^

C

water at 95"C, what^ is^ the^ pressure in^ the^ bottle?

a. 520 mmHg b. 780 mmHg t_c. \ 810 mmHg

L_s

  1. Calcium nitrate will^ react^ with^ ammonium chloride^ at^ slightly elevated temperatures,^ as

represented in the equation

Ca(Nog)z(s)+ 2NHacl(s) (^) ---+ 2Nzo(g)+ Cacl2(s)^ +^ 1zo(gi

A 3.00-mol sample of each reactant will^ give^ what volume^ of^ NzO^ at^ STP?

d. 930 mmHg e. 2800 mmHg

d. 44.8 L

67.2 L

a. 1"1.2 L b. 22.4^ L c. 33.6 L

I (^) "^.rlqr"b NrCt;l

-a F x^ 2?'-+-)^ 'a" 6'?'z L

The density of^ a^ gas^ is^ 3.48^ g/L^ at^ STP.^ What^ is^ its molecular weight?

a. 44.6 g/mol r ,^1 *

b. 224g/mol (^) ?frt.,- d {^ t ..f[l (^) 78.o g/mot i 2r FA,..=j;:

.=

Which of the following has the lowest doiling point?

a. HzO

b. HF

Ta:1 HCt

L.--'

d. 32.0 g/mol e. I47 g/mol I r (^1) 5ir, lin *$_\ "(

HBr

HI

a..r-E"rrlL y^ t:.^ n k-21 y'r1 3

The information given^ below^ may^ be^ useful. Many^ other^ relations^ may^ also be derived'

Equations

ldeal gas^ equation;^ PV^ =^ nRT,^ also^ expressed in^ terms of density^ as PM

= dRT

Real gas^ equation;^ O^ =

#;U, #^

(also known as^ Van der Waals^ equation)

Root mean square^ velocity^ of^ a^ gas; u^ =^ (1Y)''' \M )

clausius-clapeyronequation;lnL =^

AH"-f (^) I I) P *[T^ t]

Volume of^ a^ sphere^ =+, Volume of^ a^ cube^ =^ F

The edge length^ of^ the^ cubic^ unit^ cells

l= 2r (for^ a^ simple^ cubic cell)

t (^) = I (for^ a^ body centered^ cubic cell)

J

I (^) =2t/2r or simply^ 1=^ (t/8)r^ (for^ a^ face^ centered^ cubic^ cell)

Metric and other unit^ conversions

1 m = l-.0x102 cm^1 Kg^ = 1.0^ x103 g

1 m^ =1.0x10e nm^1 KJ^ =^ 1.0^ x103J

i. m (^) =1.0x1012 pm^ l-^ atm=760^ mmHg^ l-^ atm=1'01325x10s^ Pa

Constants

R (^) =0.0821 L. atm/(K. mol)

R= 8.3145 J/(K.mol)

PERIOD

o (J

E

rfl

n

o

Ef

I

c)

-.{

tp l-

rn

o 'Tl

{

:tr

FN

rn l-

tn

=m

z,

{ gt

-6#-l E f=l c.N

o(,t tI RAT ea <9 N

-UJ# --r

6'A)o

Et'$

d\o

ttio fra\2c@ <@

gz;

ED9 h

tJ) rtF +L S-.I

h{- l-l.l (^) B{ @ co 6',lt^CAqN

tl

I \tl, :i

Elc "<

6al€ da- ttsco {

g^ts

5 (-,1^ t

=FD

<F

B!/' fri-H 3m<o s

oSm

=w =(D:<N

> loooi.\o S-=:-q

P H-r

<\o^ ul 11ae-rio

,^p irrrr =o;:s

dz

o

'(C

tdO t!rrl FF tl,

e

Bo

HQ

^X'd :4 <;

9ts

z

N-

E+

3

IP^ -l

H

z-{

='+[

-N

6Ne =Fl <5 N

It)^ p

tt-lAz')a

E z6 Fa. '@

guO

EKJt^

EgBSN

r{ zll- ED) F ad

aza i\J (^3) o

zN t(,

7 J^o-\x

SN

rb

iw^ i@Q e:o

{ .-I

E{* ET

<A

?rz*

Bl-@m;^Sn

>s

ao; =Hi^ = Hws FFH

vu^ { i- tr'AJ- ?@ fl

ih

rz- r--l

i@-ac

<N

2|z^

9=S

= a- >l ilcs

'.. (^) l. I -

= rE lzlL^ @l= il>. a d I^ I^
0rts -l E E T

I in = !'

*l i f GEE s g^ P (^) "EE @o=F lr,e :,1 e i;

}FilCOo14^ gi2 (^) \

_-t 9a' =\Jazrt 3 o Er:

b)

=r'

cF$ o

ax; e*

__t -l 4-r- =u@=aNsiJ N

A

4 r.r ut a'A)-

=F

N eo; 40 H C (^) -:x c --{ e, cF{=1-

cd

!FUaF(+!t

tA rFl qo.E <N

[.)

*Zs

C-JH c_i F -k1z4.N

=tr

d

.€^ -t 8>_- =i^ -F'6 H{

oh-l -zP; soQ .-- {

N qo; !-P $lig (^) o

lg.{ (^) b)

g

-comH-

diJiB aoq (^) fi

Eo?

=s*

o

+N:6E3i @ =H^ '

lHui)d

=l-i3s

_€^ A z- FF (^) $ N

9,4+ F: t'i-l^ B Ele is

F(,)cl'!

=Pts=-@is

.u E 9hl ,

dwe2@

'\J* \

i= la@ s5;^

ul j(l) (^) ^ !eila (^) =g

o^ o
*or :

$

s\

t $ -G
o

@u^ co

9Edu +lo

t =a-6rt:

ntsf, ffiiPl zaON b N

(h Eo 'v 9 @ {

2 '-l

az'= n tr!^

=oE

r(AmtJ

Eil- Etl'N

eR

#a 70F;@

@6c ?mP-o

,E

co Irr' R\JSz@ @

S

B. tr tP^

ir.+!mo

t

  • t/) gHs mio o

U)

S-u

9\Aix

=16rp

o.-r 6Os

=t-Ltd

a\or

c 9|ald mE ca

nbla\

2 't+t^ ---

dt-6z_ N

(), E X-i

o

5:- d t2-; ^-Ho

PH^6 d-r-{

9''l I

ftZEz(Db o

r-^ N

P- (^) i{-F FO (^) .oH

=

s Fsig H+ag$ H i 'qE*EEF.eArf

e

-iif, F;1;3 t f (^) i1l iirle.' E< sFf,o^ qi5;F -t 6 0 0 9 +43 giFi^3 = 6sP (^) ;-t9- B

s (^) €g3 e**;c

-l o\

o I z tr' m

EiFt ,s

iL:l

}A]c@ F

EO: E(D 3

#t>€

Rtll

3r F

e z?

=ssa IF€ iHe-r-o

oS

  1. (l)^

*r-{64YO

SPiD 50

FS

8Etr*a-a cFia t

3rrs

I ll 2 l-t. ;{

=q (^6) +- (^) - u

S)-l'.gjs

<L,;

ia4ri'r

i\J- ;cz S

I,J^6 O FFI

ii{;

Fo (^) fi a $Fq:EH .N o +i*c'lr

rl{o

iPio o

<-l ill<^ 3-.-d

Ev'o<A

_-l mL-Iti g-'@

Br- G +r^ Eos

l-o

6H- =FS uo o =c

\o

^.'^ 'o U

cu^ E

I !plu

<o'--t^ S

T*zJu / 2= G =\r@={ t\o Esarrc

d = fi>>- nA a

ZP J'

oAo, I \l -kl<F 6 t @\Om rg -.-l

4gg

=?e-N= -:i i^E !8e

t.i

q\O ZEaH I r:I z@CN (^) t;

483 =B

E

<Ht9,a

io.E

6

aryFfi

=eE= i-F=-t,) i5_iHN :N