Question

2.3 Mass of Ideal Gas

Consider a barrel of 100 cm diameter and 175 cm height. The barrel is filled with air at 40°C, and the pressure at the bottom of the jar is 1.3 atm. Pressure and density distribution in the barrel are given by the barometric formula.

Determine the pressures at the lid and the bottom of the barrel, the mass of air in the barrel (hint: needs integration), and then show that the pressure difference between top and bottom is due to the weight of the air in the jar.

Answer 1

O Solom Given, pressure in barrel, in barrel, Pharrel = 1.3 atin = 1.3x10² kpa volume of barrel barrel e veta Luc? XL "/4* 44:47 21.373 m3 Temperature, T = 40° C 2 313 k universal Carstant gas I R20.287 kg From Ideal gas equation pul 2 MIRT 1. 3 x 10² X 1.37 3 zmy 0.2877313 mars q αν ma la q 86 - 986 kg pressure elt the lide apgh 2 (m) xgx1.75 211986 CH X 9.81% 1.75 pressure 2248 N/m ԳԵ the bottom py. El.3 atm х Thank you. Scanned with CamScanner