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.
(e) Will it float if filled with nitrogen (d = 1.165 g/L)?

Answer 1

Total density of filled ball with nitrogen gas: $\frac{0.12G+0.6524g}{0.560L} = 1.3792g/L$

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 nitrogen 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 nitrogen gas = $d_4=1.165g/L$

Mass of the nitrogen gas : $1.165g/L \times 0.560L = 0.6524g$

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