ap chem ch. 5

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the ideal gas law

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16 Terms

1

the ideal gas law

PV = nRT

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2

(constant) R =

  • 0.0821 (L*atm)/(mol*K)

  • 62.3 (L*mmHg)/(mol*K)

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3

d (density) =

m/V = PM/RT

  • my way of memorizing it: (P)rime(M)inister/(R)ight(T)

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4

daltons law

  • Ptotal = P1 + P2 +…Pn

    • were P1 is the partial pressure of gas one, P2 is the partial pressure of gas two (and so on)

  • Pgas = Ptot - PH2O

    • where PH2O is the vaper pressure of water

  • P1 = X1 * Ptot

    • where X1 is the mole fractio

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5

kinetic theory (formulas)

  • Etrans = 1/2 * m * u^2 = C * T

  • m1u1^2 = m2u2^2

  • rate2/rate1 = (M1/M2)^(1/2) = time1/time2

  • u = (3RT/M)^(1/2) where R = 8.31 (g*m^2)/(s^2*mol*K)

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6

real gases vs. ideal gases

  • real gases deviate from ideal gases

    • gas molecules attract each other

    • gas molecules occupy a finite volume

  • they deviate most at high pressures and low temps (smaller mean free path) and least at low pressures and high temperatures (bigger mean free path)

  • deviation is so small it’s negligible

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7

kinetic theory (theory)

  • explains the effects of temperature and pressure on matter

  • all matter is composed of small particle

  • these particles are in constant motion

  • collisions between particles are perfectly elastic (no change in total kinetic energy of the system)

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8

mean free path

describes the average distance a molecule will travel before colliding with another molecule

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9

what factors increase the mean free path

temperature, the number of particles in a given volume, and the mass of the given particles

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10

pressure

  • created by the force and the number of gas molecule collisions on a container wall

  • pascal is the SI unit of pressure (1 Pa = 1 N/m^2)

  • 101.325 kPa = 1 atm = 760 mm Hg

  • nanometers and barometers are used to measure gas pressure using column of mercury

    • nanometers - open and closed arm

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11

calculation for closed arm nanometer

gas pressure = height change

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12

calculation for open arm nanometer

depends on which side of the mercury is the highest

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13

boyles law

P1V1 = P2V2

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14

charles’ law

V1/T1 = V2/T2

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15

avogadros law

P1/n1 = P2/n2

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16

combined gas law

(P1V1)/T1 = (P2V2)/T2

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