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Thermal & Kinetic Lecture 22 Problems Class II. Thermal & Kinetic paper, ’04/’05: Q1. Is it possible for the temperature of an ideal gas to rise without heat flowing into the gas?. Yes No Don’t know.

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Thermal & Kinetic

Lecture 22

Problems Class II



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



Dimensions of boltzmann s constant
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
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
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
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
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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