Calculating Air Density: A Solution for Scientists

In summary, the engineer wants to know what is the meaning of 28.317. It is a unit conversion from litre/minute to cubic foot/minute.
  • #1
signorvivek
17
0
Hai,

I have the pressure value (which is less than atm) and temperature value. How to calculate Density of the air?
I calculated but the result is not satisfactory.
 
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  • #2
signorvivek said:
Hai,

I have the pressure value (which is less than atm) and temperature value. How to calculate Density of the air?
I calculated but the result is not satisfactory.

Please show what you did.
 
  • #3
P = Pressure at the region : in Pa
R = Specific gas constant R : 287 J/KgK
T = Air Temp : in K

Density of air = P/(R*T) in Kg/m3
 
Last edited:
  • #5
Density = mP/RT

Rs = R/M

:)
 
  • #6
Can anyone tell me the method to calculate the engine idle air flow requirement?

Engine rpm = 1200 rpm = RPM
Rev/cyle = 2
Engine capacity = 395 cc = 0.395 Lit = L
Volumetric Efficiency = 90% = VE

Then VAF (Volume of Air Flow) is,

VAF = (L/28.317) x (RPM/2) x VE.

I want o know what is the meaning for 28.317
Can anyone tell be the derivation for it?
 
  • #7
signorvivek said:
I want o know what is the meaning for 28.317
Can anyone tell be the derivation for it?

It looks pretty close to the molecular mass of air.
 
  • #8
Hai

Molecular mass of air is 29. But this value is 28.317 which is 0.6 lesser than molecular mass of air.
I am confused on this 28.317...
 
  • #9
Molecular mass of air is generally 28.97, that's why I said it's close to that of air.
 
  • #10
That's the number of cubic meters in 1000 scf. This is why I cringe when there are no units shown.
 
  • #11
Ahh...

Good point! I'm cringing too!
 
  • #12
Yes it is the unit conversion data only.
But what is the purpose of the 28.317 there.
See i am giving the Engine capacity in Litre only,

And my end unit of Volume of air is Lit/min only.

And also VAF = (Engine Displacement/1728) * (RPM/2) * VE

I am still confused on the 28.317?
 
  • #13
That's just a unit conversion. It changes litre/minute to cubic foot/minute. I don't know why you do that, but...

When you do problems, try to always use units. That will reduce your effort by at least half.
 

FAQ: Calculating Air Density: A Solution for Scientists

What is the formula for calculating air density?

The formula for calculating air density is ρ = P / (R * T), where ρ is the air density in kg/m³, P is the air pressure in Pa, R is the gas constant for dry air (287.058 J/(kg*K)), and T is the temperature in Kelvin.

How does air density change with altitude?

Air density decreases with increasing altitude. This is because as altitude increases, the air pressure and temperature decrease, causing the air molecules to spread out and become less dense.

What factors affect air density?

The main factors that affect air density are air pressure, temperature, and humidity. Higher air pressure and lower temperatures result in higher air density, while higher humidity can slightly decrease air density.

How is air density used in aircraft operations?

Air density is an important factor in aircraft operations, as it affects the lift and drag forces on the aircraft. Pilots use air density calculations to determine the aircraft's performance at different altitudes, and to make decisions regarding fuel consumption and engine power settings.

How do variations in air density affect weather patterns?

Changes in air density can have significant impacts on weather patterns. For example, differences in air density can result in the formation of high and low pressure systems that drive the movement of air masses and contribute to the formation of weather events such as storms and hurricanes.

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