Important Formulas: Gaseous State

# Important Gaseous State Formulas for JEE and NEET

``` Page 1

GASEOUS STATE
Temperature Scale :
32 212
32 F
273 373
273 K
0 100
O C
?
?
?
?
?
?
?
?
=
) O ( R ) 100 ( R
) O ( R R
?
?
where R = Temp. on unknown scale.
Boyle?s law and measurement of pressure :
At constant temperature, V ??
P
1
P
1
V
1
= P
2
V
2
Charles law :
At constant pressure, V ? T or
2
2
1
1
T
V
T
V
?
Gay-lussac?s law :
At constant volume, P ? T
2
2
1
1
T
P
T
P
?
? temp on absolute scale
Ideal gas Equation :
PV = nRT
PV =
m
w
RT or P =
m
d
RT or Pm = dRT
Page 2

GASEOUS STATE
Temperature Scale :
32 212
32 F
273 373
273 K
0 100
O C
?
?
?
?
?
?
?
?
=
) O ( R ) 100 ( R
) O ( R R
?
?
where R = Temp. on unknown scale.
Boyle?s law and measurement of pressure :
At constant temperature, V ??
P
1
P
1
V
1
= P
2
V
2
Charles law :
At constant pressure, V ? T or
2
2
1
1
T
V
T
V
?
Gay-lussac?s law :
At constant volume, P ? T
2
2
1
1
T
P
T
P
?
? temp on absolute scale
Ideal gas Equation :
PV = nRT
PV =
m
w
RT or P =
m
d
RT or Pm = dRT

Daltons law of partial pressure :
v
RT n
P
1
1
? ,
v
RT n
P
2
2
? ,
v
RT n
P
3
3
? and so on.
Total pressure = P
1
+ P
2
+ P
3
+ ...........
Partial pressure = mole fraction X Total pressure.
Amagat?s law of partial volume :
V = V
1
+ V
2
+ V
3
+ .......
Average molecular mass of gaseous mixture :
M
mix
=
mixture in moles of . no Total
mixture of mass Total
=
3 2 1
3 3 2 2 1 1
n n n
M n M n M n
? ?
? ?
Graham?s Law :
Rate of diffusion r ?
d
1
; d = density of gas
2
1
r
r
=
1
2
d
d
=
1
2
M
M
=
1
2
D . V
D . V
Kinetic Theory of Gases :
PV =
3
1
mN
2
U   Kinetic equation of gases
Average K.E. for one mole =  N
A

?
?
?
?
?
?
2
U m
2
1
=
2
3
K N
A
T  =
2
3
RT
? Root mean suqare speed
U
rms
=
M
T R 3
molar mass must be in kg/mole.
? Average speed
U
av
= U
1
+ U
2
+ U
3
+ ............ U
N
U
avg.
=
M
RT 8
?
=
m
KT 8
?
K  is Boltzmman constant
? Most probable speed
U
MPS
=
M
RT 2
=
m
KT 2
Page 3

GASEOUS STATE
Temperature Scale :
32 212
32 F
273 373
273 K
0 100
O C
?
?
?
?
?
?
?
?
=
) O ( R ) 100 ( R
) O ( R R
?
?
where R = Temp. on unknown scale.
Boyle?s law and measurement of pressure :
At constant temperature, V ??
P
1
P
1
V
1
= P
2
V
2
Charles law :
At constant pressure, V ? T or
2
2
1
1
T
V
T
V
?
Gay-lussac?s law :
At constant volume, P ? T
2
2
1
1
T
P
T
P
?
? temp on absolute scale
Ideal gas Equation :
PV = nRT
PV =
m
w
RT or P =
m
d
RT or Pm = dRT

Daltons law of partial pressure :
v
RT n
P
1
1
? ,
v
RT n
P
2
2
? ,
v
RT n
P
3
3
? and so on.
Total pressure = P
1
+ P
2
+ P
3
+ ...........
Partial pressure = mole fraction X Total pressure.
Amagat?s law of partial volume :
V = V
1
+ V
2
+ V
3
+ .......
Average molecular mass of gaseous mixture :
M
mix
=
mixture in moles of . no Total
mixture of mass Total
=
3 2 1
3 3 2 2 1 1
n n n
M n M n M n
? ?
? ?
Graham?s Law :
Rate of diffusion r ?
d
1
; d = density of gas
2
1
r
r
=
1
2
d
d
=
1
2
M
M
=
1
2
D . V
D . V
Kinetic Theory of Gases :
PV =
3
1
mN
2
U   Kinetic equation of gases
Average K.E. for one mole =  N
A

?
?
?
?
?
?
2
U m
2
1
=
2
3
K N
A
T  =
2
3
RT
? Root mean suqare speed
U
rms
=
M
T R 3
molar mass must be in kg/mole.
? Average speed
U
av
= U
1
+ U
2
+ U
3
+ ............ U
N
U
avg.
=
M
RT 8
?
=
m
KT 8
?
K  is Boltzmman constant
? Most probable speed
U
MPS
=
M
RT 2
=
m
KT 2

Van der Waal?s equation :
?
?
?
?
?
?
?
?
?
2
2
v
an
P
(v ? nb) = nRT
? Critical constants :
V
c
= 3b, P
C
=
2
b 27
a
, T
C
=
Rb 27
a 8

```

79 docs

## Important Formulas for JEE Mains & Advanced

79 docs

### Up next

 Explore Courses for JEE exam
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;