11-Gas Laws

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Chm II Drill: Calculate the
mass of (NH4)2SO4 in mg
produced when 1.12 mL
NH3 gas reacts is excess
H2SO4 in the following rxn:
NH3 + H2SO4  (NH4)2SO4
Review Drill &
Stoichiometry
Test
Water of
Crystalization
Lab Due
Tomorrow
Chm II Homework
•Review PP-11
•Complete the
worksheet attached to
the Poly website.
Are there any
questions on
previous
material?
Kinetic
Theory
•All matter is made up
of tiny particles
•The particles are in
constant motion
•All collisions are
elastic
Pressure
•Force per unit area
•Caused by collisions
against a surface
•Gas measured in
pressure
Units of Pressure
•kPa: kilopascal (Std Unit)
•Pascal: newton/sq. meter
•Atmosphere (Atm):
•mm Hg:
Standard Pressure
•101.3 kPa (to be changed)
•1.00 Atm
•760 mm Hg or Torrs
•30.0 inches Hg
•1013 millibars
Gas
Laws
State the Following Laws
• Boyle’s Law
• Charles’ Law
• Gay Lussac’s Law
• Dalton’s Law
• Graham’s Law
Boyle’s
Law
•The pressure & volume of
a gas at constant
temperature are inversely
proportioned
P1V1 = P2V2 = K
Charles’
Law
• The volume and temperature
of a gas at constant pressure
are directly proportioned
V 1 V2
=
=K
T1 T 2
Guy
Lussac’s
Law
• The pressure and temp. of a
gas at constant volume are
directly proportioned
P1 P 2
=
=K
T1 T 2
Combined
Gas Law
•Combination of the
three formulas
P1V1 P2V2
=
T1
T2
Common
Sense
•A gas’s volume is directly
proportioned to its number
of moles
V1 V2
=
=K
n1 n2
New Combination
P1V1/n1T1 =
P2V2/n2T2 =
K
New Combination
P1V1 P2V2
=
=K
n1 T1 n2T2
Ideal Gas Law
PV = nRT
Dalton’s
Law
•The total pressure =
the sum of the partial
pressures
PT = P1 + P2 + etc
Graham’s
Law
• The velocities of particles are
inversely proportioned to the
square root of their masses
v1
M2
=
v2
M1
Calculate the new
volume of 5.0 L of
gas when its pressure
is doubled and its
temperature is tripled:
Calculate the volume
of a gas at STP when
it occupies 150.0 mL
o
at 227 C under
303.9 kPa pressure:
Calculate the
volume of 3.0
moles of gas at
o
-23 C under 83.1
kPa pressure.
Drill: Calculate the
volume of a gas at STP
when it occupies 80.0
o
mL at 273 C under
303.9 kPa pressure:
Drill: Calculate the
number of moles of
gas occupying 831
mL under 250 kPa at
o
227 C & Pass in Lab
Review &
Collect Drill
& HW
CHM II HW
•Review PP 11
•Complete the attached
worksheet
Are there any
questions on
previous
material?
Calculate the volume of
a gas at STP when it
occupies 80.0 mL at
o
273 C under 303.9 kPa
pressure:
Calculate the
ratio of the
velocities of He
gas to HCl gas:
Calculate the mass of
CO2 occupying 83.1
mL under 25 GPa at
o
227 C
Calculate the
molecular mass of 5.0
g of gas occupying
831mL under 250
o
MPa at 227 C
Ideal Gas Law
PV = nRT
Related Formulas
m
D or r =
V
m/n
MW =
MW = m/n
n = m/MW
PV = nRT
PV =
MW =
mRT
MW
mRT
PV
Drill: Calculate the
volume in mL of
4.0 g bromine gas
o
at 127 C under
83.1 kPa pressure.
Review &
Collect Drill
& HW
CHM II HW
• Review PP 11
• Complete the attached
assignment & turn it in
tomorrow
Are there any
questions on
previous
material?
Discuss Lab
Calculate the
density of carbon
o
dioxide at 27 C
under 83.1 kPa
pressure
Other
Integrated
Formulas
D=
MW =
m
V
mRT
PV
D=
MW =
m
V
m RT
V P
MW
D=
DRT
= P
MW P
RT
The total pressure of a
system is 120.0 kPa.
The partial pressure of
gas A is 112.0 kPa.
Determine the
pressure of gas B
Drill: Calculate
the ratio of the
velocities of He
gas to HCl gas:
Calculate the
mass of 831 mL
o
of CO2 at 27 C
under 150 kPa
pressure:
Drill:Calculate the
volume of 4.0
moles of gas
under 83.1 kPa
o
pressure at 127 C:
Review &
Collect Drill
& HW
Are there any
questions on
previous
material?
Calculate the volume
of a gas at STP when
it occupies 80.0 mL at
o
127 C under 303.9
kPa pressure:
5 Calculate the
volume of 4.0
moles of gas
under 83.1 kPa
o
pressure at 127 C:
Calculate the
molecular mass of 50
g of gas occupying
831mL under 250
o
MPa at 227 C
Calculate the
mass of 831 mL
o
of CO2 at 167 C
under 150 kPa
pressure:
The total pressure of a
system is 120.0 kPa.
The partial pressure of
gas A is 112.0 kPa.
Determine the
pressure of gas B
The total pressure of a
system is 150.0 kPa. The
system contains 50 % A,
30 % B, & 20 % C.
Determine the pressure
of each gas.
Drill: Calculate the
mass of CO2
occupying 83.1 mL
under 25 MPa at
o
477 C
Calculate the
density of carbon
o
dioxide at 27 C
under 83.1 kPa
pressure
Calculate the
velocity HBr
when the velocity
Be is 270 m/s:
Calculate the final
volume that 3.0 L of gas
will obtain when the
absolute temperature is
tripled & the pressure is
halved.
Calculate the mass
of CO occupying
o
831 kL at 227 C
under 2.50 Mpa
pressure.
Calculate the volume of
o
H2 formed at 27 C
under 150 kPa
when 6.8 mg NH3
decomposes making N2
& H2.
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