What is the density of air?

In summary, the question is asking for the density of air at a certain temperature, given the velocity of sound in air and the bulk modulus of air. The density of air decreases with increasing altitude and at sea level it is approximately 1.225 kg/m3.
  • #1
huybinhs
230
0
what is the density of air?

Homework Statement



For a gas at pressure P, the Bulk modulus B (under adiabatic conditions of change) is g · P. At a certain temperature, at normal atmospheric pressure, the velocity of sound in air is found to be 339.5 m/s. If g for air is 1.40, what is the density of air (in kg/m3) at that temperature ?

2. The attempt at a solution

Given wavelength, and v, then I found f:

f = v / wavelength = 242.5 Hz.

I know that:

B = v^2 * p

and B = wavelength * P

=> v^2 * p = wavelength * P

but how to find P?

I need it in couple of hours. Please advise!

Thanks a lot!
 
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  • #2
Air density, like air pressure, decreases with increasing altitude. The density of the air at sea level is about 1.225 kg/m3. At 12,000 ft the density of the air is about 0.841 kg/m3.

The density of air is 0.0012 kg/m3 at 0 °C and 101.325 kPa.
 
Last edited:

1. What is the definition of density?

Density refers to the amount of mass per unit volume of a substance. In other words, it is a measure of how compact or concentrated a substance is.

2. How is air density measured?

Air density is typically measured in units of kilograms per cubic meter (kg/m³) using a device called a densitometer. This instrument measures the mass of a known volume of air and then calculates the density based on the formula: density = mass/volume.

3. What factors affect the density of air?

The density of air is affected by temperature, pressure, and humidity. As temperature increases, the density of air decreases. As pressure increases, the density of air also increases. And as humidity increases, the density of air decreases.

4. What is the density of air at sea level?

The density of air at sea level is approximately 1.225 kg/m³. However, this value can vary slightly depending on the temperature, pressure, and humidity of the air.

5. How does the density of air affect objects?

The density of air affects the buoyancy of objects. Objects that are less dense than air, such as helium balloons, will float because they are less dense than the surrounding air. Objects that are more dense than air, such as rocks, will sink because they are more dense than the surrounding air.

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