Avogadro's Law. The Ideal Gas Law. P V = n R T. P1 V1 n1 T1. = P2 V2 n2 T2. If pressure and moles do not change in the problem, omit those variables. ...
Gas Laws. CHEM 30A. Note: Many of the gas laws can be found by solving the Ideal Gas Law for R, and then omitting any variables that do not change. Example: Dalton's Law of Partial Pressures. Ptotal = PA +PB + PC … Charles's Law. = V1. T1. V2. T2. Ga
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get answers to quizzes, and to skip to other lessons. You can end this slide ... Boyle's Law. Charles Law. Gay-Lussac's Law. Combined Gas Law. Avogadro's Law. Ideal Gas Law. Putting it All Together (Gas Stoichiometry). Dalton's Law of .... Solution:
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• Jika n ≡ jumlah mol gas dan M ≡ berat molekul gas m =nM • misal: M O2 = 32 kg/kmol 1 kmol O2 ekivalen dengan 1 kg O2 • Dalam kmol: Pv = nMRT
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Gas Laws CHEM 1A Boyle’s Law
Charles’s Law
Gay-Lussac’s Law
The Combined Gas Law
Avogadro’s Law
P1 V1 = P2 V2
V1 V = 2 T1 T2
P1 P = 2 T1 T2
P1 V1 P V = 2 2 T1 T2
V1 V2 = n1 n2
Graham’s Law of Effusion (for relative velocities or rates of diffusion/effusion) Rate* Gas A = Rate* Gas B
Root Mean Squared Velocity 3RT M
urms =
MB MA
R = 8.31451 J/K∙mol M = molar mass in kg/mol
* indicate the specific type of rate (Velocity, Rate diff., or Rate eff.)
Dalton’s Law of Partial Pressures
The Ideal Gas Law
Mole Fraction
PV= nRT
nA PA A = = ntotal Ptotal
a = van der Waals constant b = van der Waals constant A = mole fraction of A d = density M = molar mass n = # of moles P = pressure PA = partial pressure gas A R = 0.08206 L·atm/K·mol T = temperature V = volume STP = 0ºC & 1 atm
Ptotal = PA + PB + PC …
At STP: 1 mole = 22.4 L 1 atm ≡ 760 torr
dRT M = P
K = °C + 273.15 Important Rules for Units T always in Kelvin P1 & P2 units match V1 & V2 units match All P units in Dalton’s Law match All units match those of R in the Ideal Gas Law
van der Waals Equation n Pobs + a V
2 V–nb = nRT
Atm · L2 mol2
L mol
Note: Many of the gas laws can be found by solving the Ideal Gas Law for R, and then omitting any variables that do not change. Example:
The Ideal Gas Law
P1 V1 P V = 2 2 n1 T1 n2 T2
PV= nRT R =
PV nT
If pressure and moles do not change in the problem, omit those variables Charles’s Law V1 V2 = T1 T2
