Calculating Air Density: A Solution for Scientists

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Homework Help Overview

The discussion revolves around calculating air density using pressure and temperature values, as well as exploring the meaning of a specific conversion factor related to engine air flow requirements.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for air density and question the validity of their results. There is also inquiry into the derivation and significance of a conversion factor (28.317) used in calculating engine air flow requirements.

Discussion Status

The discussion includes attempts to clarify the calculations for air density and the meaning of the conversion factor. Some participants express confusion about the values and units involved, while others provide insights into unit conversions and the importance of maintaining consistent units in calculations.

Contextual Notes

Participants are working with specific values for pressure, temperature, and engine specifications, but there is uncertainty regarding the appropriateness of the conversion factor and its implications for the calculations being performed.

signorvivek
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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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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.
 
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:
Density = mP/RT

Rs = R/M

:)
 
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?
 
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.
 
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...
 
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.
 

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