Concept explainers
We want to construct a thermometer using mercury. As the mercury in the bulb is heated, it expands and moves up the thin capillary tube connected to the bulb. The symbol used for the coefficient of volume expansion of a substance due to a temperature increase is p. It is used in the following equation:
ΔV =βV(ΔT)
Here, ΔV is the increase in volume, V is the original volume, and ΔT is the temperature increase. The value of β for mercury is 1.8 × 10−4 [1/degree Celsius] . If the bulb contains 0.2 milliliters [mL] and the tube has a diameter of 0.2 millimeters [mm], how much will the mercury rise in the tube in units of centimeters [cm] if we increase the temperature from 30 degrees Fahrenheit [°F] to 70 degrees Fahrenheit [°F]?
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