Question

At room temperature (208C) and pressure, the density of air is 1.189 g/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 g and has a volume of 560 cm⁹.
(b) Will it float if filled with carbon dioxide (d = 1.830 g/L)?

Answer 1

Total density of filled ball with carbon dioxide gas: $\frac{012g+1.0248g}{0.560L} = 2.044g/L$

The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d). The ball filled with carbon dioxide will not float in the air because total density of filled ball is greater than the density of an air. Density of the evacuated ball D = 0.214 g/L

Density of carbon dioxide gas = $d_1 = 1.830g/L$

Mass of the carbon dioxide gas : $1.830g/L \times 0.560L = 1.0248g$

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