The units for the coefficient of linear expansion a are (C°)-!, and there is no mention of a length unit such as meters. Would the expansion coefficient change if we used feet or millimeters instead of meters? Explain.
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- At 20°C, a rod is exactly 20.05 cm long on a steel ruler. Both are placed in an oven at 270°C, where the rod now measures 20.11 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made?Bob built a scale model of the bridge that is 2.637m long at the lowest temperature (T=-45 degrees Celsius) using an unknown material. When the temperature reaches the highest value (T=43 degrees Celsius), he measures again the length of the bridge finding that it has expanded L=5.56mm. Calculate the coefficient of linear expansion and find the material Bob used to make his model.A Pyrex flask in a refrigerator at –7°C is filled to the top and holds exactly 1000 cm³ of ethyl alcohol. If the refrigerator fails, how much alcohol spills by the time the temperature reaches 28°C? The coefficient of volume expansion of ethyl alcohol is 0.00112 (°C)-!. Ignore the expansion of the flask. Answer in units of cm³.
- In this example we see how thermal expansion can actually throw off the accuracy of a length-measuring device-namely, a tape measure. A surveyor uses a steel measuring tape that is exactly 50.000 m long at a temperature of 20 °C. What is its length on a hot summer day when the temperature is 35 °C? SOLUTION SET UP AND SOLVE We have Lo = 50.000 m. To (Note that because AL is usually much smaller than Lo, we need steel is 1.2 x 10-5 K-¹. Using the same equation, The new length is Part A - Practice Problem: 20 °C, and T 35 °C. We use the following equation to find AL: AL=aLo AT IVD ΑΣΦ Submit L = Lo + AL 50.000 m -0.0090 m : 50,009 m REFLECT The measuring tape lengthens by 9 mm, or 0.018%. In surveying a baseball field, this amount is negligible, but not when measuring the length of a steel bridge. Note that, although Lo is given to five significant figures, we need only two of them to compute AL. Request Answer keep more significant figures in the lengths than in the temperatures.) The…The first real length standard, adopted more than 200 years ago, was a platinum bar with two very fine marks separated by what was defined to be exactly one meter. If this standard bar was to be accurate to within +1.0 µm, how carefully would the trustees have needed to control the temperature? The coefficient of linear expansion is 9 × 10-6/C°.The density of lead is 1.13 x 10“ kg/m³ at 20.0°C. Find its density (in kg/m) at 131°C. (Use a = 29 x 10-° (°C)-- for the coefficient of linear expansion. Give your answer to at least four significant figures.) HINT 3 × kg/m³ 11216.1