15-The Boltzmann Factor Flashcards

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1
Q

What is the mean energy per particle in an ideal gas?

A

3 / 2 kT

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2
Q

As we only need an order of magnitude for the energy, what do we approximate mean particle energy to be?

A

kT

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3
Q

What equation relates energy and plack’s constant?

A

E=hf

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4
Q

What are extremely low energies represented as?

A

Electron volts

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5
Q

What does 1ev equal?

A

1.6 X 10-19

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6
Q

What is the activation energy?

A

The certain amount of energy required for a reaction to take place

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7
Q

In chemistry, why do we have to heat reagents in order for them to react?

A

So that the reagents can gain enough kinetic energy in order to react

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8
Q

What does water need in order to evaporate?

A

Thermal energy

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9
Q

Why can nuclear fission occur in centre of the sun?

A

Because of the temperature of many million kelvin there

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10
Q

What is the variation of resistance with temperature in thermistors due to?

A

The thermal ionisation of atoms in the semiconductor lattice

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11
Q

What is the Boltzmann ratio?

A

E / KT

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12
Q

How do your clothes dry?

A
  • Water molecules on the clothes have a range of different energies
  • Some will have enough energy to escape from the surface
  • When they do the mean energy of the water molecules will drop
  • The newly cooled water will gain energy by collision with other particles in the warmer environment, giving more water molecules enough energy to escape
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13
Q

If E / kT for the energy needed to liberate one water molecule from a liquid is 16, what does this suggest?

A

The energy needed to liberate 1 one water molecule from the liquid is 16 times greater than the available energy per particle at room temp

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14
Q

What value of E / kT will a reaction occur at an appreciable rate?

A

15kT - 30kT

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15
Q

If the value of E / kT is below 15, what does this mean?

A

The rate would be extremely fast

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16
Q

If the value of E / kT is above 30, what does this mean?

A

The rate would be very slow

17
Q

What can particles lose/gain from random interactions with other particles?

A

They can acquire/lose energy

18
Q

If the chance of a particle gaining energy is 1/6, what is the chance of a particle gaining 2E?

A

2E=F^2=1/36

19
Q

What is the Boltzmann factor?

A

The fraction of particles which go up by 1 energy level

20
Q

What is the equation for the Boltzmann factor?

A

f = e^-E/kT

21
Q

What does the Boltzmann factor tell you?

A

The fraction of particles that have enough energy to react