At room temperature \(\left(20^{\circ} \mathrm{C}\right)\) and pressure, the
density of air is \(1.189 \mathrm{~g} / \mathrm{L}\). An object will float in
air if its density is less than that of air. In a buoyancy experiment with a
new plastic, a chemist creates a rigid, thin-walled ball that weighs \(0.12
\mathrm{~g}\) and has a volume of \(560 \mathrm{~cm}^{3}\).
(a) Will the ball float if it is evacuated?
(b) Will it float if filled with carbon dioxide \((d=1.830 \mathrm{~g} /
\mathrm{L}) ?\)
(c) Will it float if filled with hydrogen \((d=0.0899 \mathrm{~g} / \mathrm{L})
?\)
(d) Will it float if filled with oxygen \((d=1.330 \mathrm{~g} / \mathrm{L}) ?\)
(e) Will it float if filled with nitrogen \((d=1.165 \mathrm{~g} / \mathrm{L})
?\)
(f) For any case in which the ball will float, how much weight must be added
to make it sink?