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The density of mercury changes approximately linearly with
Chapter 1, Problem 91HP(choose chapter or problem)
Problem 91HP
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?
Questions & Answers
QUESTION:
Problem 91HP
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 91 HP:
Step 1 of 2:-
Here we have to find the difference between pressures at two different conditions.
The density as a function of temperature is,
.
The pressure and density are related as,
--------------------(1)
Where h is the height..
The pressure difference of 100 kPa at is,
.