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All Gas Laws in a Cheat Sheet, Cheat Sheet of Chemistry

Boyle Law, Charles Law, Gay-Lussac Law, Combined Gas Law, Ideal Gas Law, Daltons Laws and more

Typology: Cheat Sheet

2020/2021

Uploaded on 04/23/2021

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Gas Laws Cheat Sheet
STP is 1 atm and 0°C K = 273 + °C (Change ALL temperatures to Kelvin!!!!)
1 atm = 760 mmHg or 760 torr 1000 mL=1 L
1 atm = 101.3 kPa Molar Volume of a Gas at STP 22.4 L/mol
V1 = initial volume
Boyle’s Law V1P1 = V2P2 V2 = final volume
P1 = initial pressure
P2 = final pressure
Charles’s Law V1 = V2 T1 = initial temperature (in Kelvin)
T1 T2 T2 = final temperature (in Kelvin)
n1= initial moles
Gay-Lussac’s Law P1 = P2 n2 = final moles
T1 T2
Moles and Volume Law V1 = V2
n1 n2
Combined Gas Law V1P1 = V2P2
n1T1 n2T2
Ideal Gas Law PV = nRT P = pressure in atm, kPa, or mmHg (Make sure you pick correct R!)
V = volume in liters
n = number of moles
T = temperature in Kelvin
Ideal Gas Constant = R = 0.0821 L • atm = 8.31 L • kPa = 62.4 L • mmHg
mol • K mol • K mol • K
(Pressure)(volume) = (moles)(ideal gas constant)(temperature)
Daltons Law PT = P1 + P2 + P3 + ……. PT = total pressure
P# = the partial pressures of the individual gases
Total Pressure of a Gas = (Sum of the partial pressures of the component gases)
Daltons Law applied to Gases Collected by Water Displacement
Patm or PT = Pgas + PH2O Patm or PT = barometric pressure or total pressure
Pgas = pressure of the gas collected
PH2O = vapor pressure of water at specific temperature (table below
also on page 899 in textbook)
Water Vapor Pressure
Temperature
(ºC)
Pressure
(mmHg)
Temperature
(ºC)
Pressure
(mmHg)
Temperature
(ºC)
Pressure
(mmHg)
Temperature
(ºC)
Pressure
(mmHg)
0.0
4.6
21.0
18.6
27.0
26.7
50.0
92.5
5.0
6.5
22.0
19.8
28.0
28.3
60.0
149.4
10.0
9.2
23.0
21.1
29.0
30.0
70.0
233.7
15.0
12.8
24.0
22.4
30.0
31.8
80.0
355.1
18.0
15.5
25.0
23.8
35.0
42.2
90.0
525.8
20.0
17.5
26.0
25.2
40.0
55.3
100.0
760.0
Graham’s Law
Rate of diffusion/effusion of A = (MB / MA) M = molar mass of that compound
Rate of diffusion/effusion of B Gas A is the lighter, faster gas
Rate of diffusion/effusion is the same as the velocity
(or speed) of the gas.
After the rates of diffusion/effusion for two gases are determined, the gas with the lower molar mass will
be the one diffusing/effusing faster.

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Gas Laws Cheat Sheet STP is 1 atm and 0°C K = 273 + °C (Change ALL temperatures to Kelvin!!!!) 1 atm = 760 mmHg or 760 torr 1000 mL=1 L 1 atm = 101.3 kPa Molar Volume of a Gas at STP 22.4 L/mol V 1 = initial volume Boyle’s Law V 1 P 1 = V 2 P 2 V 2 = final volume P 1 = initial pressure P 2 = final pressure Charles’s Law V 1 = V 2 T 1 = initial temperature (in Kelvin) T 1 T 2 T 2 = final temperature (in Kelvin) n1 = initial moles Gay-Lussac’s Law P 1 = P 2 n2 = final moles T 1 T 2

Moles and Volume Law V 1 = V 2 n1 n

Combined Gas Law V 1 P 1 = V 2 P 2 n1 T 1 n 2 T 2

Ideal Gas Law PV = nRT P = pressure in atm, kPa, or mmHg (Make sure you pick correct R!) V = volume in liters n = number of moles T = temperature in Kelvin Ideal Gas Constant = R = 0.0821 L • atm = 8.31 L • kPa = 62.4 L • mmHg mol • K mol • K mol • K

(Pressure)(volume) = (moles)(ideal gas constant)(temperature)

Daltons Law P (^) T = P 1 + P 2 + P 3 + ……. P (^) T = total pressure P (^) # = the partial pressures of the individual gases

Total Pressure of a Gas = (Sum of the partial pressures of the component gases) Daltons Law applied to Gases Collected by Water Displacement P (^) atm or P (^) T = P (^) gas + P (^) H2O P (^) atm or P (^) T = barometric pressure or total pressure P (^) gas = pressure of the gas collected P (^) H2O = vapor pressure of water at specific temperature (table below also on page 899 in textbook) Water – Vapor Pressure Temperature (ºC)

Pressure (mmHg)

Temperature (ºC)

Pressure (mmHg)

Temperature (ºC)

Pressure (mmHg)

Temperature (ºC)

Pressure (mmHg) 0.0 4.6 21.0 18.6 27.0 26.7 50.0 92. 5.0 6.5 22.0 19.8 28.0 28.3 60.0 149. 10.0 9.2 23.0 21.1 29.0 30.0 70.0 233. 15.0 12.8 24.0 22.4 30.0 31.8 80.0 355. 18.0 15.5 25.0 23.8 35.0 42.2 90.0 525. 20.0 17.5 26.0 25.2 40.0 55.3 100.0 760.

Graham’s Law Rate of diffusion/effusion of A = √(M (^) B / M (^) A) M = molar mass of that compound Rate of diffusion/effusion of B Gas A is the lighter, faster gas Rate of diffusion/effusion is the same as the velocity (or speed) of the gas. After the rates of diffusion/effusion for two gases are determined, the gas with the lower molar mass will be the one diffusing/effusing faster.