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e) 1997 N/m2 A14 Carbon dioxide (CO2) with a specific volume of 0.284 m3/kg is c

ID: 1866511 • Letter: E

Question

e) 1997 N/m2 A14 Carbon dioxide (CO2) with a specific volume of 0.284 m3/kg is contained by a 12] piston in a cylinder of diameter 10 cm, as shown in Figure QA14. louw cylinder 2Y linder Tr2 Atmospheric Pressure P 3 CO2 123.O v Figure QA14 The piston has a mass of 80 kg and is free to move. Taking g = 9.8 m/s2 and atmospheric pressure as 1 bar (100 kPa), the pressure of the gas is: a) 2.21 bar b) 1.5 bar c2.0 bar d) 3.0 bar e) 1.0 bar A15 In Question A14 above, if initially the piston is 10 cm above the cylinder bottom

Explanation / Answer

Equilibrium of vertical forces

(Pressure inside the gas)x(area of cylinder) = (atmospheric pressure)×(area of cylinder) + weight of piston

P×?×0.05^2 = 100×1000×?×0.05^2+80×9.81

P=199923.84Pa

P=2bar