Question

In a physics laboratory, a 25.03g balloon is inflated with an unknown gas. The volume of the inflated, spherical balloon is 10.1L and the gas pressure is 105.0kPa. The air temperature in the lab is 27.0oC and the pressure is 101.3kPa. Assume the average mass of an air molecule in the lab is 4.81x10⁻²⁶ kg.

Determine the mass density of the air in the lab. Hint: Relate the mass density of the air to the population density of the air molecules.

Answer 1

The mass density of the air in the lab is 2.474 g/L.

Step-by-step explanation:

The mass density of air can be calculated using the formula: density = mass/volume. In this case, we have the mass of the air in the lab, which is given as the mass of the balloon. The volume of the air is the volume of the balloon. So, to find the density, we divide the mass of the balloon by the volume of the balloon.

Given:
Mass of the balloon = 25.03g
Volume of the balloon = 10.1L

Density = 25.03g / 10.1L = 2.474 g/L

The mass density of the air in the lab is 2.474 g/L.