________- transfer of a gas through space over time.
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constant T
At ________ and n (Boyles Law)- P and V are inversely proportional so as V decreases, pressure increase.
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constant P
At ________ and T (Avogadros law)- V and n are proportional so as volume increases as moles increases.
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entire surface
Pressure is a measure of- the total amount of this push (force) exerted by gas molecules hitting the ________ at one instant.
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Von der Waals
________- corrects for the nonideal nature of real gases (P + n^2a /v^2) (V- nb)= nRT.
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Effusion
________- transfer of a gas through a membrane or orifice rate of effusion is proportional to 1 /√ (Mm)
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Boyles Law
________- gases are compressible P1V1= P2V2.
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Pb + Pc
Daltons Law- sum of pressures of all different gases in a mixture equals the total pressure Ptot= Pa + ________ +….
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Ideal gas assumption
________- often intermolecular forces are essentially negligible, size of the molecules can often be ignored.
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Avogadros Law
________- Equal volumes of gases contain same number of moles V1 /n1= V2 /n2.
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Amontonss Law
________- Pressure of a gas increases as the temperature of the gas increases P1 /T1= P2 /T2.
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Properties of a gas (6)
atoms in constant random motion, fills the container it occupies, low density, compressible, mixtures are homogenous, fluid
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Ideal gas assumption
often intermolecular forces are essentially negligible, size of the molecules can often be ignored
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pressure is a measure of
the total amount of this push (force) exerted by gas molecules hitting the entire surface at one instant
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Boyles Law
gases are compressible P1V1 = P2V2
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At constant T and n (Boyles Law)
P and V are inversely proportional so as V decreases, pressure increase
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Charless Law
Volume of a gas extrapolates to zero at absolution zero Kelvin V1/T1 = V2/T2
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At constant P and n (Charless Law)
V and T are proportional so as T increases, V increases
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Avogadros Law
Equal volumes of gases contain same number of moles V1/n1 = V2/n2
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At constant P and T (Avogadros law)
V and n are proportional so as volume increases as moles increases
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Amontonss Law
Pressure of a gas increases as the temperature of the gas increases P1/T1 = P2/T2
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At constant V and n (Amontonss Law)
P and T are proportional so as T increase, P increases
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Combined Gas Law
PiVi/Ti = PfVf/Tf
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STP (standard temperature and pressure)
0 degrees C, 273.15 K, 1atm, 22.4L/mol
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Ideal gas constant or molar gas constant or universal gas constant (R=)
0.08206Latm/molK
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Molecular Weight Determination
Mm = mRT/RV
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Density Determination
D = MmP/RT
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Daltons Law
sum of pressures of all different gases in a mixture equals the total pressure Ptot = Pa + Pb + Pc +…
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Moles fraction X
a fraction of moles of "A" in the total moles of the mixture Xa = na/ntot = Pa/Ptot
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Von der Waals
corrects for the nonideal nature of real gases (P + n^2a/v^2)(V-nb) = nRT
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Kinetic-Molecular Theory
the volume of particles is negligible, particles are in constant motion, no inherent attractive or repulsive forces, and the average kinetic energy of particles is proportional to the temperature
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Molecular speed (u) equation
u=√(3RT/Mm)
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Diffusion
transfer of a gas through space over time
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Effusion
transfer of a gas through a membrane or orifice rate of effusion is proportional to 1/√(Mm)