Join Date: Sep 2006
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Here is the relation...
P1*V1/T1 = P2*V2/T2
If the pressures are the same, it becomes...
V1/T1 = V2/T2
Make the volume ratio the subject...
V2/V1 = T2/T1
Since density (rho) and volume (V) are inversely proportional, you can write as...
rho1/rho2 = T2/T1
So, if the temperatures are 10 degC and 50 degC respectively, convert both to the absolute temperature scale (just add 273 to both) and write as...
rho1/rho2 = (50+273)/(10+273) = 323/283 = 1.1413
...or about 14 percent more dense.
The motor would rather breathe the denser air.