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Thermal & Kinetic Lecture 22 Problems Class IIPowerPoint Presentation

Thermal & Kinetic Lecture 22 Problems Class II

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Is it possible for the temperature of an ideal gas to rise without heat flowing into the gas?

- Yes
- No
- Don’t know

Must the temperature of an ideal gas necessarily change as a result of hear flow into or out of it?

- Yes
- No
- Don’t know

Thermal & Kinetic paper, ’02/’03: Paper 2, Q2 result of hear flow into or out of it?

…compare to CW Set 4 result of hear flow into or out of it?

- Q1. 1 mole of an ideal gas originally at a pressure of 1.0 x 104 Pa and occupying a volume of 0.2 m3 undergoes the following cyclic process:
- an adiabatic compression until the pressure is 3.0 x 104 Pa;
- an isobaric expansion to a volume of 0.4 m3;
- an isothermal expansion until the pressure reaches 1.0 x 104 Pa;
- an isobaric compression to the original volume of 0.2 m3.
- Draw a PV diagram for this process [3].
- For each of the stages (i) – (iv) calculate the heat transferred [5], the work done [5], and the change in internal energy [5].
- Show that only internal energy is a function of state [2].

F31ST1 CW4 result of hear flow into or out of it?

Thermal & Kinetic paper, ’06/’07: Q7 result of hear flow into or out of it?

What do you need to use to solve this type of PV cycle question?

- Ideal gas law: PV = nRT
- First law: DU = Q + W
- Equation for adiabatic, P1V1g = P2V2g
- Equation for adiabatic work:
- Q = CvDT (isochoric);
- Q = CPDT (isobaric)
- Work done in isothermal, isobaric, isochoric process
- Only internal energy is a function of state

Numerical answers to all (past!) exam questions are on web at:

http://www.nottingham.ac.uk/physics/intranet/undergrad/ug_numericalanswers.php

What is the net change in internal energy of the gas for one cycle of the engine?

- 0 J
- 90 J
- 180 J
- 60 J
- Don’t know

When moving from point A to point B, what is the change in the volume of the gas?

- 90 m3
- 2 m3
- 45 m3
- 32 m3
- Don’t know

Q3. F31ST1 ’06 – ’07 Exam Paper the volume of the gas?

Dimensions of the volume of the gas? Boltzmann’s constant?

- M2L2 T2Q
- M2L2 T2Q-1
- M2LT-1Q-1
- ML2 T-2Q-1
- Don’t know

If the energy levels are spaced by 0.25 eV and the number of molecules with energy E1 is a factor of 10-5 smaller than the number with energy E0, calculate the value of T.

- 101 K
- 2112 K
- 273 K
- 252 K
- None of these
- Don’t know

Q2. F31ST1 ’04 – ’05 Exam Paper molecules with energy E

How many ways are there of distributing the energy? molecules with energy E

- 6
- 180
- 10
- 2112
- Don’t know

What is the probability of finding the system in a state where each oscillator has one quantum of energy?

- 50%
- 8%
- 10%
- 1%
- Don’t know

Q8(b). F31ST1 ’05 – ’06 Exam Paper where each oscillator has one quantum of energy?

Total energy of configuration B? where each oscillator has one quantum of energy?

- e
- 2e
- 4e
- 5e
- Don‘t know

Q8(b). F31ST1 ’05 – ’06 Exam Paper where each oscillator has one quantum of energy?

What is the equilbrium temperature of the system? where each oscillator has one quantum of energy?

- 100 C
- 50 C
- Neither of these
- Don’t know

Will the total change in entropy be: where each oscillator has one quantum of energy?

- Positive
- Negative
- Zero
- Don’t know

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