Question
8. Your window thermometer shows that the temperature outdoors is 87.9F. How should you report this temperature to your friend in Israel (i.e., on the
8. Your window thermometer shows that the temperature outdoors is 87.9F. How should you report this temperature to your friend in Israel (i.e., on the Celsius scale) and to your SIenthusiastic physicist neighbor (i.e., on the Kelvinscale)?
temperature in degreesCelsius: C
temperature in kelvins: K
9. You heat a 513cm3 sample of a substance from 141C to 265C and find that its volume increases by 2.29cm3. Calculate the coefficient of volume expansion of thissubstance.
= (C)1
10. Fused quartz possesses an exceptionally low coefficient of linear expansion, 5.50107(C)1. Suppose a bar of fused quartz of length 3.43m at 20.0C is heated to 231C. By how much, in millimeters, would the barexpand?
bar expansion =. mm
11. The storage of radioactive waste is an important problem in the nuclear industry. One problem that scientists must take into account is volumetricexpansion.
Consider a 50.0gallon metal canister of diameter 22.0inches filled with a radioactive waste possessing a coefficient of volume expansion of 9.60104(C)1. This canister will be filled at room temperature (23.0C) and lowered deep into the Earth (where temperatures can reach 145C) for storage. If the coefficient of volume expansion of the metal is 4.10105(C)1, how much waste will spill over the top if the lid becomesloose?
amount ofwaste:
12. You lower the temperature of a sample of liquid carbon disulfide from 87.9C until its volume contracts by 0.401% of its initial value. What is the final temperature of the substance? The coefficient of volume expansion for carbon disulfide is1.15103(C)1.
temperature: C
13. The coefficient of linear expansion for some common materials are listed in thetable.
Suppose Mary would like to design an emergency overheating alarm using one of these materials. In her design, at room temperature (23.0C), a 5.76cm long cylinder of the material will sit with one end against a wall and the other just barely touching a button. Once the heat causes the cylinder to lengthen by 0.0273cm, the button will be activated, turning on thealarm.
Material | (1/C) |
---|---|
polycarbonate | 70.2106 |
aluminum | 22.2106 |
brass | 18.7106 |
copper | 16.6106 |
steel | 13.0106 |
cast iron | 10.4106 |
titanium | 8.60106 |
glass | 5.92106 |
At what temperature will the alarm be triggered if the cylinder is made out ofcopper?
temperature: C
At what temperature will the alarm be triggered if the cylinder is made out ofsteel?
temperature: C
14. Derive an expression for in terms of , 0, and by assuming that the ratio of the density of formaldehyde f and the initial density of the body b is =f/b. Assume also that f does not change whenheated.
=
If the body weighs 134.0lb on dry land and his weight reading lowers by 0.135lb when the formaldehyde is heated from 66.40F to 83.40F, calculate the coefficient of volume expansion of the body.* Assume=0.790.
= 1/C
* The coefficient will likely vary widely from one human body to the next. The numerical value computed in this example should not be consideredfactual.
15. f 7.67moles of an ideal gas has a pressure of 4.84105Pa and a volume of 0.109m3, what is the temperature of thesample?
= K
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