If 
of air at 122(°F) and approximately atmospheric pressure is preheated for a combustion process to 932(°F), what rate of heat transfer is required?
What will be an ideal response?
we are reminded that the gas constant is 
in the sort of
units used in this problem, so we can convert the volumetric flow rate to a molar flow rate using the ideal gas law (air at atmospheric conditions is very nearly an ideal gas).
To find the heat needed to heat the air at constant pressure from 122°F to 932 °F, we need to integrate the heat capacity over that temperature range
The ideal gas heat capacity for air is given in
T must be in Kelvins for use in this expression, so we convert 122°F to 323.15 K and 932 °F to 773.15 K. We then have
Putting in n = 0.59 lbmol 
gives 
Note that because the heat capacity integral comes out with units of K, while we are using R with units of °R, we have to multiply by 1.8 °R/K.
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