You have some metal shot (small spheres about 5 mm in diameter), and you want to identify the metal. You have a ?ask that is known to contain exactly 100.0 mL when ?lled with liquid to a mark in the ?ask's neck. When the ?ask is ?lled with water at 20 °C, the mass of ?ask and water is 122.3 g. The water is emptied from the ?ask and 20 of the small spheres of metal are carefully placed in the ?ask. The 20 small spheres had a mass of 42.3 g. The ?ask is again ?lled to the mark with water at 20 °C and weighed. This time the mass is 159.9 g.
(a) What metal is in the spheres? (Assume that the spheres are all the same and consist of pure metal.)
(b) What volume would 500 spheres occupy?