A mercury-in-glass thermometer read 4cm at ice point and 29cm at steam point. Calculate the temperature when the mercury level is at 9cm
a
13oC
b
20oC
c
33oC
d
38oC
Explanation
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imfynest
2 months ago
1. Identify given parameters
The thermometer uses a linear relationship between the length of the mercury column (
) and the temperature (
). We are given the following fixed points:
Ice point (
):
Steam point (
):
Unknown point (
):
2. Apply the linear interpolation formula
The temperature on a Celsius scale for a liquid-in-glass thermometer is determined by the ratio of the increase in length to the total interval between fixed points:
3. Substitute values and solve
Substitute the known lengths into the equation:


