- #1
Oannes
- 26
- 1
Homework Statement
I am supposed to find the increase in volume, or more specifically how much mercury will rise inside of a thermometer, given the following values. The volume expansion is 1.8 * 10-4/C(degree Celcius). The temperature increase from 30 to 70 degrees F (already converted the temp increase to 22 C). Finally, I am given that the bulb contains .2 millimeters (it actually does not say .2 millimeters of mercury but I assume that is what they are referring to) of mercury and that the tube has a diameter of .2 millimeters.
Homework Equations
Increase in Volume(DeltaV) = Volume Expansion * Original Volume(V) * The change in Temp(Delta T)
X = 1.8x10-4/C * ? * 22 C
Volume of a Cylinder = pieR2H
The Attempt at a Solution
I have so far been able to form the above, however, I am not sure how to proceed in finding the original volume.
I have the diameter so therefore I have the radius, however, I do not have the height and i do not understand how knowing that the bulb contains 0.2mm of mercury helps in finding the answer. I am tempted to try using the amount in the bulb as the height, or even just multiplying the 2 together, however I do not see how that helps me get any closer to finding the volume. Thanks in advance for any help and I feel like I am missing something very simple.
Original Problem Statement:
We want to construct a thermometer using mercuyr. 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 of volume expansion of a substance due to ta temperature increase is B(sigma). it is used in the following equation: DeltaV = BV(DeltaT)
here, DeltaV is the increase in volume, V is the original volume, and DeltaT is the temperature increase. The value of B is 1.8x10-4[1/degree Celsius]. If the bulb contains 0.2 milliliters and the tupe has a diameter of 0.2 milimeters, how much will the mercury rise in the tube in units of centimeters if we increse the temperature from 30 degrees F to 70 degrees F?
Last edited: