Question

At room temperature (20°C) 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.
(c) Will it float if filled with hydrogen (d = 0.0899 g/L)?

Answer 1

Total density of filled ball with hydrogen gas: $\frac{0.12g+0.050344g}{0.560L} = 0.3041g/L$

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 hydrogen will float in the air because total density of filled ball is lessor than the density of an air.

Density of hydrogen gas = $d_2 = 0.0899g/L$

Mass of the hydrogen gas : $\frac{0.12g+0.050344}{0.560L} = 0.3041g/L$

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