and here is an example so that you can follow the proceudre of the example 9. Th
ID: 875438 • Letter: A
Question
and here is an example so that you can follow the proceudre of the example
9. The density, (p) of a gas is related to pressure, p (Pa) and temperature, T (K) by the relation: = p/(R T). Determine the gas constant R for air based on the density versus temperature data at p = 101325 Pa (shown below). If the true value of R = 286.9 Jkg-K estimate the percent true error with the result. Temperature T(C): 0 10 20 30 40 50 60 70 Density (kg/m): 1.292 1.247 1.204 1.165 1.127 1.109 1.060 1.029 [note: = (p/R) (1/T) use x = 1/T]Explanation / Answer
Take any temperature and calculate 1/T
The the corresponding density value and feed it to the equation along with the given P value, we should get the R value from it.
Say at 10 oC
p = P/RT
1.247 = 1 atm /R x 10
R = 0.0802
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