Equations Flashcards

1
Q

State Boyle’s Law.

A

p ~ 1/v at constant T

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2
Q

State Charle’s Law.

A

V ~ T at constant p and n

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3
Q

State Avogadro’s Law.

A

V ~ n at constant p and T

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4
Q

State the ideal gas equation.

A

pV = nRT

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5
Q

State the equation for pressure.

A

p = hpg

p is the density of mercury
g is the acceleration due to gravity

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6
Q

State the mole fraction.

A

Xa = na/ntotal

Sum of mole fractions should add up to 1.0

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7
Q

State the equation relating pressure and moles.

A

Xa = na/ntotal = pa/ptotal

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8
Q

State the equation for the change in momentum.

A

Change in momentum = (momentum before collision) - (momentum after collision)
2mvx = (mvx) - (-mvx)

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9
Q

State the equation for momentum.

A

Momentum = mass x velocity (mv)

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10
Q

State the average kinetic energy of a single molecule.

A

EKE = 1/2ms^2

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11
Q

State the equation for the mean kinetic energy per molecule.

A

EKE = 1/2mc^2

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12
Q

State the equation for the root mean square speed.

A

c = (3RT/M)^1/2

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13
Q

What is the mean speed of a molecule for a mixture of two gases?

A

mean speed of A/mean speed of B = (MB/MA)^1/2

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14
Q

State Graham’s Law of Effusion.

A

rate of effusion ~ 1/M1/2

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15
Q

What is the rate of effusion for a mixture of two gases?

A

rate of effusion of A/rate of effusion of B = (MB/MA)^1/2

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16
Q

State the equation for the collision cross-section.

A

Ó = pi(2r)^2 = pid^2

17
Q

State the equation for the collision frequency (Z).

A

Z = /2Na (có) (p/RT)

18
Q

State the equation for the mean free path.

A

~

/\ = RT//2Naóp

19
Q

State the equation for the root mean square of the molecular speeds.

A

c = (s1^2 + s2^2 + … sn^2 / N)^1/2

20
Q

State the equation for the mean speed.

A

_

c = s1 + s2 + … sn/N

21
Q

State the van dee Waals equation for gases.

A

(p + a(n/V)^2) (V-nb) = nRT

a term: correction factor for the intermolecular attractions
b term: correction factor for the finite size of molecules