Thermal &amp; Kinetic Lecture 22 Problems Class II

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# Thermal &amp; Kinetic Lecture 22 Problems Class II - PowerPoint PPT Presentation

Thermal &amp; Kinetic Lecture 22 Problems Class II. Thermal &amp; 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?
• 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

…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].
• 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

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
Dimensions of 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
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
Total energy of configuration B?
• e
• 2e
• 4e
• 5e
• Don‘t know
What is the equilbrium temperature of the system?
• 100 C
• 50 C
• Neither of these
• Don’t know
Will the total change in entropy be:
• Positive
• Negative
• Zero
• Don’t know