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Engineering and Tech / Fundamentals of Thermodynamcs 8 / Chapter 1 / Problem 92HP

Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

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A mercury thermometer measures temperature by measuring

Chapter 1, Problem 92HP

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QUESTION:

Problem 92HP

A mercury thermometer measures temperature by measuring the volume expansion of a fixed mass of liquid mercury due to a change in density (see Problem 1.91). Find the relative change (%) in volume for a change in temperature from 10°C to 20°C.

Problem 1.91

The density of mercury changes approximately linearly with temperature as ρHg = 13 595 – 2.5 T kg/m3 (T in Celsius), so the same pressure difference will result in a manometer reading that is influenced by temperature. If a pressure difference of 100 kPa is measured in the summer at 35°C and in the winter at −15°C, what is the difference in column height between the two measurements?

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QUESTION:

Problem 92HP

A mercury thermometer measures temperature by measuring the volume expansion of a fixed mass of liquid mercury due to a change in density (see Problem 1.91). Find the relative change (%) in volume for a change in temperature from 10°C to 20°C.

Problem 1.91

The density of mercury changes approximately linearly with temperature as ρHg = 13 595 – 2.5 T kg/m3 (T in Celsius), so the same pressure difference will result in a manometer reading that is influenced by temperature. If a pressure difference of 100 kPa is measured in the summer at 35°C and in the winter at −15°C, what is the difference in column height between the two measurements?

ANSWER:

Solution

Step 1 of 3

We need to find out the relative change in volume for a change in temperature from to .

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