Question

the difference in density between gases creates buoyancy, which is the ability of an object to float. At 0°C, helium has a density of 0.18kg/m 3. At 0°C, regular air has a density of 1.29 kg/m 3. In kilograms, how much mass can a cubic meter of helium float in regular air at 0°C?

Answer 1

`\large \boxed{\text{1.11 kg}}`

Step-by-step explanation:

The buoyant force in kilograms is given by

`F = V(\rho_{\text{air}} - \rho_{\text{He}})`

`\begin{array}{rcl}F& = & \text{1 m}^(3) *(\text{1.29 kg/m}^(3) - \text{0.18 kg/m}^(3))\\ & = & \textbf{1.11 kg}\\\end{array}\\\text{A cubic metre of helium can float a mass of $\large \boxed{\textbf{1.11 kg}}$}`