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50 Cards in this Set
- Front
- Back
Common units of Pressure |
Pascal (Pa) kilopascal (kPa) atmosphere (atm) millimeters of mercury (mmHg) torr pounds per square inch (lb/in2 or psi) bar |
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Pascal (Pa) kilopascal (kPa) (at sea level and 0* C) |
1.01325 x 10^5 Pa 101.325 kPa |
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Atmosphere (atm) (at sea level and 0* C) |
1 atm |
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millimeters of mercury (mmHg) |
760 mmHg |
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Torr (at sea level and 0* C) |
760 torr |
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pounds per square inch (lb/in2 or psi) (at sea level and 0* C) |
14.7 lb/in2 |
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bar (at sea level and 0* C) |
1.01325 bar |
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Properties of Gases |
1. Volume (V) changes with Pressure (P) 2. Volume (V) changes with Temp (T) 3. Gases flow very freely 4. Gases have relatively low Density (D) 5. Gases form solution in any proportions |
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Pressure = ? |
P = Force / Area |
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when Temperature Increases |
Volume Increases, Density Decreases, Pressure Increases |
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when Temperature Decreases |
Volume Decreases, Density Increases, Pressure Decreases |
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when Pressure Increases (at fixed T and n) |
Volume Decreases |
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1 torr = ? |
1 mm |
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Boyles' Law |
At a constant temp (T), the volume (V) is inversely proportional to applied external pressure (P). P Increases, V Decreases P Decreases, V Increases |
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Charles' Law |
At a constant pressure (P), the volume (V) is directly proportional to its absolute temp (T) (Kelvin). T Increases, V Increases T Decreases, V Decreases |
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Avogadro's Law |
At a fixed temp (T) and pressure (P), equal volumes (V) contain equal # particles (moles, n). |
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STP (Standard Temperature and Pressure) |
0* C (273.15 K) 1 atm (760 torr) |
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Standard Molar Volume (volume occupied by 1 mol of ideal gas at STP) |
22.4141 L (22.4 L [to 4 sf]) |
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Ideal Gas Law |
PV = nRT (T is always in Kelvins) |
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Solving Gas Law Problems |
1. summarize gas variables and constants 2. convert units (if necessary) 3. rearrange ideal gas law and solve for unknown |
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Boyle's Law Equation |
PiVi = PfVf (fixed n & T) (i = initial, f = final) |
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Charles' Law Equation |
Vi/Ti = Vf/Tf (fixed n & P) (T always in Kelvins) (i = initial, f = final) |
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Avogadro's Law Equation |
Vi/ni = Vf/nf (fixed P and T) (T always in Kelvins) (i = initial, f = final) |
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Ideal Gas Law (Initial conditions to Final conditions) |
P1V1 / n1T1 = P2V2 / n2T2
(T always in Kelvins) |
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R = ? Formula |
R = PV / nT
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R = ? (using STP) |
(.0821 L kPa/K mol) |
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when Pressure Increases (at fixed V) |
Temperature Increases (P1 / T1 = P2 / T2) |
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R indicates: which may have different values based on: |
Universal gas constant Units for Volume and Pressure |
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Van der Waals Equation |
(P+ n^2 a/ V^2)(V-nb) = nRT |
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Density Formula |
d = PM / RT (M = molar mass) |
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Density is directly proportional to: |
Molar Mass Higher Molar Mass, Higher Density |
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Density is inversely proportional to: |
Temperature Temp Increases, Volume Increases, Density Lower |
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Density from temp1 to temp2: |
d1 / d2 = T2 / T1 (inversely proportional) |
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Molar Mass of a Gas Formula |
M = mRT / PV |
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Dalton's Law of Partial Pressures |
In a mixture of unreacting gases, the total pressure is the sum of the partial pressures of the individual gases. (P(total) = P1 + P2 + P3 + ...) |
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Mole Fraction (X) |
Each component in a mixture contributes a fraction of the total # of moles in the mixture. (sum of all fractions must = 1) |
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Pressure of each Gas in Mixture |
P(A) = [(mole of A) / mole total] x P(total) [P(A) = Pressure of gas 'A'] [mole total = total mole of mixture] |
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mole % formula |
X(mole%A) = [P(A) / P (t)] x 100 [P(A) = pressure of element A] [P(t) = total pressure of mixture] |
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Kinetic-Molecular Theory Postulates |
1. Particle volume (indiv. particles in empty space) 2. Particle motion (constant, straight-line motion) 3. Particle collisions (constant total Kinetic energy) |
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Gas Compression vs. Liquid & Solid Compression |
The fact that liquids and solids cannot be compressed implies there is little, if any, free space between their particles. |
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Kinetic Energy Equation |
Ek = ½ mass x speed^2 |
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Graham's Law of Effusion |
The rate of effusion of a gas is inversely proportional to the square root of its molar mass. |
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Mean free path |
The average distance a particle travels between collisions at a given Temp and Pressure obtained by particle's diameter. |
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Collision Frequency |
most probable speed / mean free path (meters/second) / (meters per collision) |
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Effusion and diffusion rates are _________ proportional to the square root of the molar mass because they are __________ proportional to molecular speed. |
inversely , directly |
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Gay-Lussac's Equation |
Pi/Ti = Pf/Tf (V and n are constant) (i = initial, f = final) |
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Barometer measures ________ |
atm pressure |
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Manometer measures ________ involved in _______. |
pressure of gas, chemical reaction |
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Diffusion is the movement of _________ through ________. |
one gas another |
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Effusion is the _______ by which gas _________ through a tiny hole in its container into ____________. |
process, escapes, an evacuated space. |