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Thermal & Kinetic Lecture 22 Problems Class II

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

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  1. Thermal & Kinetic Lecture 22 Problems Class II

  2. Thermal & Kinetic paper, ’04/’05: Q1

  3. Is it possible for the temperature of an ideal gas to rise without heat flowing into the gas? • Yes • No • Don’t know

  4. 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

  5. Thermal & Kinetic paper, ’02/’03: Paper 2, Q2

  6. …compare to CW Set 4 • 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].

  7. F31ST1 CW4

  8. Thermal & Kinetic paper, ’06/’07: Q7

  9. 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

  10. Numerical answers to all (past!) exam questions are on web at: http://www.nottingham.ac.uk/physics/intranet/undergrad/ug_numericalanswers.php

  11. Q5. F31ST1 ’03 – ’04 Exam Paper

  12. 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

  13. 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

  14. Q3. F31ST1 ’06 – ’07 Exam Paper

  15. Dimensions of Boltzmann’s constant? • M2L2 T2Q • M2L2 T2Q-1 • M2LT-1Q-1 • ML2 T-2Q-1 • Don’t know

  16. 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

  17. Q2. F31ST1 ’04 – ’05 Exam Paper

  18. How many ways are there of distributing the energy? • 6 • 180 • 10 • 2112 • Don’t know

  19. 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

  20. Q8(b). F31ST1 ’05 – ’06 Exam Paper

  21. Total energy of configuration B? • e • 2e • 4e • 5e • Don‘t know

  22. Q8(b). F31ST1 ’05 – ’06 Exam Paper

  23. What is the equilbrium temperature of the system? • 100 C • 50 C • Neither of these • Don’t know

  24. Will the total change in entropy be: • Positive • Negative • Zero • Don’t know

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