AP Chemistry - Gas Laws
14 flashcards · Other · by luckydog789 (harrison holbrook)
Boyle's law
P1V1=P2V2P_1V_1=P_2V_2P1V1=P2V2
Charles's law
V1T1=V2T2\frac{V_1}{T_1}=\frac{V_2}{T_2}T1V1=T2V2
Guy-Lassac's (Guillaume Amontons's) law
P1T1=P2T2\frac{P_1}{T_1}=\frac{P_2}{T_2}T1P1=T2P2
Combined gas law
P1V1T1=P2V2T2\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}T1P1V1=T2P2V2
Ideal gas law
PV=nRTPV=nRTPV=nRT
TTT
Temperature, in ∘K^{\circ}K∘K ( ∘C+273^{\circ}C + 273∘C+273 , really 237.15 but for this class use 273)
RRR
Gas constant, given on the test
PPP
Pressure, in atmatmatm , JJJ (a.k.a. kPakPakPa ), or torrtorrtorr (a.k.a mmHgmmHgmmHg )
VVV
Volume, in LLL
nnn
The number of moles of the gas
Avogadro's law
n1V1=n2V2\frac{n_1}{V_1}=\frac{n_2}{V_2}V1n1=V2n2
Dalton's law (of partial pressures)
PT=Pa+Pb+Pc...P_T=P_a+P_b+P_c...PT=Pa+Pb+Pc... , where PTP_TPT is the total pressure of the gas, PaP_aPa and such are the partial pressures of each fraction (the pressure given by just the molecules of a certain pure gas). Can also be represented as nanT=PaPT\frac{n_a}{n_T}=\frac{P_a}{P_T}nTna=PTPa , as the amount of gas is proportional to pressure. Importantly, this does not hold true for volume, as each constituent gas has the same volume as the gas they make up.
Root Mean Square (RMS) velocity of a gas (sometimes but very rarely known as Graham's Law)
μ=3RTMm\mu=\sqrt{\frac{3RT}{M_m}}μ=Mm3RT , where RRR is the gas constant, in this case 8.314 J mol−1K−18.314 \text{ } J \text{ } mol^{-1}K^{-1}8.314 J mol−1K−1 , MmM_mMm is the molar mass of the substance, in kg/molkg/molkg/mol , and TTT is temperature, in kelvin
Graham's Law of Effusion
rate2rate1=Mm1Mm2\frac{\text{rate}_2}{\text{rate}_1}=\sqrt{\frac{M_{m1}}{M_{m2}}}rate1rate2=Mm2Mm1 , which gives the ratio between the rates of effusion of two gases, where gas 1 is the heavier gas, and molar mass is in g/molg/molg/mol . Related is the rate of effusion for one gas, sometimes (don't really use this) gives as 1M\sqrt{\frac{1}{M}}M1 , where MMM is the molar mass of the gas