Using the perfect gas law, and the facts that air having a mass m = 0.00378 kg a
ID: 1654181 • Letter: U
Question
Using the perfect gas law, and the facts that air having a mass m = 0.00378 kg and the temperature of 280 C and a volume of 1000 cm3, answer the following. What is the R value of air from the table posted on blackboard that are in units consistent with the mass given above? Determine the absolute temperature in units that are considered consistent with the units for relative temperature. Convert the volume to a system of units that when multiplied by the pressure will yield results consistent with the numerator for the R value requested above. Determine the pressure in units that are consistent with the value of R from above. a. b. c. d.Explanation / Answer
(a) We know that R = 8.314 J/mol- k
we know that the molar mass of the air = 29 gram
1 mol = 29 gram
hence R = 8.314 /29 = 0.287 J/g- k = 287 J/kg- K
(b) Absolute temperature will be = 280 C = 280+273 = 553 K
(C) Volume = 1000 cm3
We know that 1 cm = 10-2 m
1000 cm3 = 1000*(10-2)3 = 10-3 m3
(d) We know that
PV = mRT
P*(10-3) = 0.00378*(287)*(553)
P = 599.9*103 Pa
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