A1_solutions_

A1_solutions_ - PHYS 258 - Thermal Physics: Assignment 1...

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PHYS 258 - Thermal Physics: Assignment 1 solutions
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2. Volume Thermal Expansion. Near room temperature, when the temperature of liquid mercury increases by one degree Celsius, its volume increases by one part in 5500. (1) a) Determine the thermal expansion coefficient, T V/V ! " (3) b) Suppose we wish to construct a mercury thermometer whose spherical bulb at the bottom has an inside diameter of 5 mm. Estimate the inside diameter of the tube portion of the thermometer required so that the mercury rises by 50 cm between 0 0 C and 100 0 C? 3. The Exponential Atmosphere (1) (a) Consider a horizontal slab of air whose thickness (height) is dz . If this slab is at rest, the pressure holding it up from below must balance both the pressure from above and the weight of the slab. Use this fact to find an expression for dP/dz , the variation of pressure with altitude, in terms of the density of air, # . (1) (b) Use the ideal gas law to write the density of air in terms of pressure, temperature,
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This note was uploaded on 06/11/2011 for the course PHYS 258 taught by Professor Yurileonenko during the Winter '11 term at Waterloo.

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A1_solutions_ - PHYS 258 - Thermal Physics: Assignment 1...

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