Thermal Physics - Flashcards

1
Q

What is absolute temperature ?

A

The temperature where the particles have no kinetic energy. Given by the value of 0k

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2
Q

How to convert from kelvin to Celsius ?

A

K - 273 = degrees Celsius

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3
Q

What is the molecular mass ?

A

The sum of the masses of all the atoms that make up a single molecule- example h2o

21 +116 = 18
2 hydrogen and one oxygen

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4
Q

What is avogadro’s constant ?

A

The number of molecules within a mole. (Na)
6.023 * 10 ^ 23

(Carbon 12 isotope - number of atoms within exactly 12 grams of an isotope )

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5
Q

What does 1 mole of a substance mean ?

A

It is a substance containing Na number of atoms.

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6
Q

What is the equation linking the number of atoms and the number of moles ?

A

N = n* Na

N - number of molecules or atoms
n - number of moles

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7
Q

What is the molar mass ?

A

It is the mass of 1 mole of a substance = the molecular mass

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8
Q

Give the relationship between the mass of a substance and the number of moles

A

Given that M is the mass of 1 mole

The mass of the substance (m) = Mn

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9
Q

Give the relationship between the number of moles and the atoms/ particles in the substance .

A

Number of atoms in the substance (N) = n*Na

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10
Q

Give the relation between the number of atoms in a substance and the mass of the substance.

A

N (no of atoms ) = (m/n) * Na = n*Na

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11
Q

What are the conditions/assumptions of ideal gases ?

A
  • gas particles are point masses (same mass + spherical )
  • average kinetic energy is directly proportional to the absolute temperature
  • particles move in constant random motion
  • follow newtons laws
  • have a negligible volume compared to the container
  • the collisions are elastic
  • the motion of the particles are straight
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12
Q

What does Boyles law state ?

A

At a constant temperature the pressure of a fixed mass of gas is inversely proportional to its volume

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13
Q

What is the equation to find a missing value ( boules law ) ?

A

P1V1 = p2 v2

As p*v = a constant

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14
Q

What does Charles law state ?

A

At a constant pressure , the volume of a fixed mass of gas is directly proportional to its absolute temperature

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15
Q

What is the equation to find a missing value ( Charles law ) ?

A

V1 / t1 =v2 / T2
As v/t is a constant

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16
Q

What does the pressure law state ?

A

At a constant volume, the pressure p of a fixed mass of gas is directly proportional to its absolute temperature

17
Q

What is the equation to find a missing value ( pressure law ) ?

A

P1/ T1 = P2 /T2

As p/t is a constant

18
Q

At a constant temperature why is there greater pressure when the volume decreases ?

A
  • when the volume is decreased the particles are closer together so collide with each other and the walls more frequently with force producing a greater pressure
19
Q

Why does the volume increase when the temperature increases at a constant pressure ?

A

As the temperature increases the particles gain more faster / move further apart taking up a greater volume

20
Q

What is an isobaric change ?

A

A change where the pressure is kept constant

21
Q

How can you change the volume of a gas at a constant pressure ?

A

Work has to be done ( transferring heat energy ) by heating

22
Q

What is the equation linking the work done and the pressure and volume ?

A

Work done = pressure times change in volume

23
Q

Why does the pressure increase as the temperature increase at a constant volume ?

A

As the temperature increases the kinetic energy of the particles increase causing them to travel at a faster speed colliding more frequently with a greater force producing a greater pressure

24
Q

What is the equation you get from combining the three gas laws ?

A

PV/ T = R ( one mole )

Pv = nRT (n moles )

25
What is the constant for 1 mole of a (ideal ) gas at room temperature and atmospheric pressure ?
R = 8.31
26
How can the ideal gas equation be written in terms of the number of molecules in the gas ?
PV = NRT / Na ( n is replaced with N/Na) Which can be written as PV = NKT K is Boltzmann’s constant - R/Na
27
28
29
What is Brownian motion ?
The random motion of larger particles in a fluid due to collisions from the surrounding fluid particles. For example pollen grains colliding with water molecules.
30
What is an example of Brownian motion ?
Smoke particles being pushed around due to the smaller air molecules
31
What does the Maxwell Boltzmann distribution convey ?
The graph shows that the speeds of the molecules vary in speed ( all are not the same speed )
32
What does the area under the Maxwell Boltzmann graph give ?
The number of particles
33
What happens to the maxwell distribution if the temperature increases ?
The peak would shift to the right and would have a greater range producing a lower curve
34
What is the root mean square speed ? ( crms)
The root of the mean of the speed squares - initially square the mean then take the mean of them and then root the value
35
What are the steps to derive the kinetic theory equation ?
- change in momentum: Particle with mass m with initial velocity u hits the surface and rebounces( elastic collision ) Final momentum - initial momentum = mu - (-mu ) = 2mu - Time taken = 2l / u - Rate of change of momentum = change in momentum over time ( mu^2 / l ) can be equated to the force - force over area = pressure mu^2 / l^3 (gives us the volume ) - taking multiple speeds of the particles into account : P= m (u1… squared ) / v In replace of u1… we sub in (ū ^2 *N ) - taking all directions up and down and sides : We assume velocity is the same in all directions so ć^2 = 3 ū^2 Therefore aP = 1/3 * Nmć^2 / v -
36
Steps to derive the the kinetic theory equation :
m is the mass of one particle N is the number of particles - change in momentum ( 2mu ) - time taken ( 2l / u ) - rate of change of momentum ( mu^2/ L ) - equate the rate of change of momentum to the force - divide the force by the area to get the pressure ( mu^2 / l^3 ) - when you look at multiple particles inn the x directions at multiple speeds ( mNū^2 / v - you then look at multiple directions producing you sū^2 ( 1/3 nmć^2 = PV ) - replace the mean square with crms PV = 1/3 Nm ( crms) ^2
37
Define the internal energy of a gas :
- internal energy of a gas is the sum of the randomly distributed kinetic energy and potential energy of all particles in the gas
38
What is the internal energy of an ideal gas ?
It is just the kinetic energy as ideal gases do not have potential energy due to negligible forces of attraction