PROBLEM SET # 1 FINAL TERM Name: ______________________________________________________ ___________________________________________________________ Section: Solve the following problems completely. Box your final answers. 1.
AB-scale. Consider two thermometers, A and B, whose temperatures are measured in °Aand °B. The ice and the boiling points of water are indicated in the figure. (a.)Using the data in the figure, determine the number of B degrees on the B-scale that correspond to 1 𝐴°. (4 pts.) (b.)Obtain a formula that will convert a temperature in A-scale into B-scale. (3 pts.) (c.)If the temperature of a substance reads + 40.0°𝐴on the A-scale, what would be that temperature read on the B-scale? (3 pts.)
2.Air-nergy gap. The brass bar and the aluminum bar in the drawing are attached to an immovable wall. At 28°𝐶the air gap between the rods is ∆???𝑝= 1.3 × 10−3𝑚. Also, at 28°𝐶the length of the brass is 2.0 m and the length of the aluminum is 1.0 m. The gap closes at some temperature T.(a.) Let ∆??????and ∆?𝐴𝑙be the change in length of the brass and the aluminum at temperature T, respectively. Write down the equation relating ∆???𝑝,∆?