Gas laws and Kinetic theory (CH20)

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Includes the three gas laws and the equation of state.

26 Terms

1

What is Boyle’s law?

  • Iso-thermal, the temperature is kept constant

  • Pressure and volume are indirectly proportional

  • p1V1 = p2V2 = p3V3

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2

What is Charle’s Law?

  • Iso-baric, pressure is kept constant

  • Temperature and volume are directly proportional

  • V1/T1 = V2/T2 = V3/T3

Graph must be in Kelvin to go through the origin.

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3

What is Gay-Lussac’s law?

  • Constant volume

  • Temperature and pressure are directly proportional

  • P1/T1 = P2/T2

Graph must be in Kelvin to go through the origin.

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4

What is Brownian motion?

the term to describe the random motion of particles in a gas or liquid

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5

What is avogadro’s number?

The number of particles in 1 mole

(on equation sheet)

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6

What is molarity?

The number of moles, n

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7

What is molar mass?

The mass of one mole, M or Mr

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8

How does pressure occur/what makes it happen?

Pressure is the average force of gas particles on the walls of the container. p = F/A in pascals or N/m².

  • Particles in a container collide with the walls of the container

  • When colliding with the walls, they exert a force on the wall, and the wall exerts a force on the particles (according to Netwton’s 3rd)

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9

Give an example of Brownian motion

  • pollen grains in water

  • dust motes in air

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10

How does Brownian motion occur?

For pollen grains in water:

  • particles in the water are moving around each other

  • The particles collide with the pollen grains

  • This results in pollen grains appearing to move around randomly

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11

What is the equation of state? When is it used?

  • It describes the state of a gas

  • Used when only the molarity is kept constant.

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12

Write an equation (not of state) for a constant n.

(p1V1)/T1 = (p2V2)/T2

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13

What is n equal to in the equation of state?

The molarity.

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14

What is R equal to in the equation of state?

The gas constant.

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15

What units must temperature be in for the equation of state?

Kelvin

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16

Use pV = nRT to explain the three gas laws.

  • Isothermal, rearrange for T to get pV

  • Isobaric, rearrange for p get V/T

  • Constant volume, rearrange for V to get P/T

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17

What two units can R be measured in?

  • J/(Kmol) - on the equation sheet

  • atmL/Kmol - not on equation sheet but might be given

atm = atmospheres L = litres K = Kelvin mol = moles J = joules

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18

What is the conversion for atmospheres to Pascals?

x10^5

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19

What is the conversion for Litres to m³?

x10^-3

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20

How can density be used in the equation of state?

p = ρ/M x RT

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21

When would pV = NkT be used?

When using the number of particles in a substance instead of moles.

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22

What is k?

The Boltzmann constant.

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23

What is m?

The mass of a substance

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24

Derive the equation for the kinetic theory of gas molecules

See sheet.

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25

How is the absolute zero of temperature interpreted in terms of ideal gas laws?

(Charles/Gay-Lussac)

Pressure or volume is plotted against temperature. The data is extrapolated, and where the line crosses the temperature axis, it is absolute zero. (Or when pxV = 0 or p = 0)

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