Fa08-MT1-SatRev-Probs - Review Session 1. A circular hole...

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Review Session 1. A circular hole is bored through a cubic block of length l 0 and density ρ 0 at temperature T 0 . The temperature is increased until the hole’s diameter is increased by 5%. Given the coefficient of volume expansion, β , find the new temperature T . 2. Approximate the earth’s atmosphere as an ideal gas of monatomic molecules. For each air molecule of mass m , h E i = 1 2 m h v 2 i + mgy . For y = 0, h E i = 1 2 m h v 2 0 i at temperature T 0 . Find the temperature T as a function of height for y > 0. 3. Starting from the first law, derive TV γ - 1 = const for an adiabatic expansion of an ideal gas. (Hint: use pV = nRT and molar heat capacities; also, the identity C p = C v + R may be helpful, and remember that γ C p C v .) FIG. 1: Reversible 3 4 circular cycle for problem 4. 4. A monatomic ideal gas undergoes a reversible cycle (Fig. 1). Given p 0 , V 0 , and N , find: (a) Δ U , (b) W a b , (c) Q a b , (d) Δ S gas , and (e) h Δ K i per molecule (average kinetic energy per molecule). The previous problems were taken from midterm exams given by John Elliott at Riverside City College some number
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Fa08-MT1-SatRev-Probs - Review Session 1. A circular hole...

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