 A cylindrical bar of gold that is 1.5 in. high and 0.25 in. in diameter has a mass of 23.1984 g, as determined with an analytical balance. An empty graduated cylinder is weighed on a triple-beam balance and has a mass of 73.47 g. After pouring a small amount of a liquid into the graduated cylinder, the mass is 79.16 g. When the gold cylinder is placed inside the graduated cylinder (the liquid covers the top of the gold cylinder), the volume indicated on the graduated cylinder is 8.5 mL. Assume that the temperatures of the gold bar and the liquid are 86F.
If the density of the liquid decreases by approximately 1% for each 10oC rise in temperature (over the range 0-50oC), determine
- the density of gold at 86oF.
- the density of the liquid at 40oF.
Source: Burness, James H. The use of "marathon" problems as effective vehicles for the presentation of general chemistry lectures. J. Chem. Educ. 1991, 68, 919.
|
