1) The document reviews several gas laws including Boyle's law relating pressure and volume at constant temperature, Charles's law relating volume and temperature at constant pressure, and Gay-Lussac's law relating pressure and temperature at constant volume.
2) Dalton's law states that the total pressure of a gas mixture is equal to the sum of the partial pressures of the individual gases. Graham's law describes the rates of effusion and diffusion of gas molecules based on their molecular weights.
3) The combined gas law and ideal gas law provide equations to relate pressure, volume, temperature, amount of gas, and constants in various gas law problems and calculations. Examples are provided for problems applying each gas law.
2. Boyles Law
O The relationship between temperature and
pressure
O (P1)(V1)=(P2)(V2)
O When one goes down, the other must go
up
O Ex) P1) 1 torr, V1) 4 Liters, P2) 2 torr, V2)
? 1*4=2*?
O ?=2 Liters
3. Charless Law
(Yes Ill be grammatically correct)
O Relationship between volume and
temperature
O Pressure and amount of gas is constant
O V1/T1=V2/T2
O One goes up, the other must go up as well
and vice versa
O Temperature Must be in Degrees Kelvin
4. Charless Law
(Continued)
O Example
O 2L of a gas at 20C is put in to a 1300 mL
container. Find the new T in C.
O First convert L to mL and C to K (2L =
2000 mL, 20C = 293K)
O 2000/293=1300/?
O T2= (1300)(293)/2000
O 190.45K = -82.55C
5. Gay-Lussacs Law
( )
Ha haGay-Lussac
O Relationship between temperature and
pressure
O Volume and amount remain constant
O P1/T1=P2/T2
6. Gay-Lussacs Law (Continued)
O Example
O A 2L container at 30C has a pressure of 9
atm. What is the temperature at 4000
torr?
O 9 atm/1 * 760 torr/1 atm
O 6840/303 = 4000/T2
O T2=177.2K
O -95.81C
O -140.5F
7. Daltons Law
O Mixture of gasses
O Easiest to understand
O Simply adding together everything you
have
8. Daltons Law (Continued)
O Example
O A 4L container at 40C has O2 at 3 atm
and N2 at 4 atm. Find the total pressure.
O Total pressure = Partial O2 + Partial N2
O 3 atm + 4 atm = 7 atm
9. Daltons Law Backwards
O 6 particles of gas are pressing against a
solid object at 100 atm. What is the
individual atm for each gas if there are 4
particles of Gas A and 6 particles of Gas
B?
O Total of one gas over total of both gasses
O 6/10= 0.6 4/10= 0.4
O Total atm times partial atm
O Gas A- (100)(.6)=60 atm, Gas B-
(100)(.4)= 40 atm
10. Finding Partial Pressure
O Total pressure of a balloon is 3000 torr.
Find the partial pressure of each gas in
the balloon. (Gas A- 5 particles, Gas B- 3
particles, Gas C- 4 particles)
O 5/12=.417 (.417)(3000)=1251 torr
O 3/12=.25 (.25)(3000)=750 torr
O 4/12=.33 (.33)(3000)=990 torr
11. Grahams Law
O Effusion of gasses (Diffusion through a
hole)
O Rate= A/B= molecular weight B/
molecular weight A
12. Grahams Law (Continued)
O How much faster is H2(A) than CO2(B)?
O Rate H2/CO2 = 44/2= 4.7 so H2 is 4.7
times faster than CO2
O Alternatively, CO2 is .213 times as fast as
H2.
13. Solving for and unknown gas
O An unknown gas(A) is 10X slower than
He(B), find the molecular weight.
O Rate= ?/He= He/ ?
O 1/10= 4/ X
O X=10 4
O (X)= (20)^2
O X=400
14. Combined Gas Law
O Combination of Boyles, Charless, and
Gay-Lussacs Laws
O (P1V1)/ T1 = (P2V2)/ T2.
P = pressure
V = volume
T = temperature
15. Ideal Gas Law
O PV=nRT
O P=Pressure in ATM
O V=Volume in Liters
O n=number of moles of the gas you're
dealing with
O R=.0821
O T= Temperature in degrees Kelvin
O All but one will be given to you in the
problem, you have to solve for the last
one