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Review Pt 2 - Problems

Review Pt 2 - Problems - MIDTERM 1 SUNDAY REVIEW PART II...

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MIDTERM 1 SUNDAY REVIEW PART II NATHAN MOORE (1) A scuba diver releases a 3.6cm diameter (spherical) bubble of air from a depth of 14m. Assume the temperature is constant at 298K, and the air behaves as an ideal gas. (a) Sketch a PV diagram for the process. (b) How large is the bubble when it reaches the surface? (c) Calculate the work done by the air in rising to the surface, the change its internal energy, the heat added or removed from the air in the bubble and the change in entropy of the air in the bubble as it rises. Assume that the density of water is 1000kg/m 3 (2) (Problems 20-49, 20-79) We know that thermodynamic processes can be represented on a pV diagram (when they are reversible) but they can also be represented on a TS diagram (temperature-entropy diagram). (a) Draw a TS diagram for a Carnot cycle. (b) What does the area within the curve represent? (c) Determine the slope of the tangent to the curve on a TS diagram for a constant volume process involving an deal gas of n moles with constant-volume molar specific heat C V as a function of temperature T .

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