a sample of air weighing 1.32 * 103 n is confined in a room measuring 9.5m * 5.0m * 2.0m . calculate the sample density
density = mass/volume, so
(1320/9.81)kg / (9.5*5*2)m^3 = _____ kg/m^3
To calculate the density of the air sample, we need to divide the mass of the sample by its volume.
Step 1: Calculate the volume of the room.
The volume (V) of a rectangular room is given by multiplying its length (L), width (W), and height (H):
V = L * W * H
V = 9.5 m * 5.0 m * 2.0 m
V = 95 m³
Step 2: Calculate the density (ρ) using the formula:
Density = Mass / Volume
Given that the weight is equal to the mass multiplied by the acceleration due to gravity (g = 9.8 m/s²):
Weight = Mass * g
Weight = 1.32 * 10³ N
Since Weight = Mass * g, we can solve for the mass (m):
Mass = Weight / g
Mass = 1.32 * 10³ N / 9.8 m/s²
Mass = 134.69 kg
Now we can calculate the density:
Density = Mass / Volume
Density = 134.69 kg / 95 m³
Density ≈ 1.416 kg/m³
Therefore, the density of the air sample is approximately 1.416 kg/m³.