Inside the closed cylinder, located horizontally, there is a thin heat-resistant piston. In one part of the cylinder

| February 7, 2021 | education

Inside the closed cylinder, located horizontally, there is a thin heat-resistant piston. In one part of the cylinder there is oxygen at a temperature of t1 = 127 ° C, in the other – hydrogen at a temperature of t2 = 27 ° C. The masses of both gases are the same. At what distance l from the end of the cylinder in the part containing hydrogen is the piston located? The length of the cylinder is L = 65 cm.The molar masses of oxygen and hydrogen are μ1 = 0.032 kg / mol and μ2 = 0.002 kg / mol

Task data: TО2 (absolute temperature of oxygen) = 400 K (127 ºC); TH2 (absolute temperature of oxygen) = 300 K (27 ºC); mH2 = mO2; L (closed cylinder length) = 65 cm.

Constants: according to the condition MO2 (molar mass of oxygen) = 0.032 kg / mol; MH2 (molar mass of hydrogen) = 0.002 kg / mol.

1) Ratio of gas occupied volumes: VO2 / VH2 = (mO2 * R * TO2 / (P * MO2)) / (mH2 * R * TH2 / (P * MH2)) = (TO2 / MO2) / (TH2 / MH2) = TO2 * MH2 / (TH2 * MO2) = 400 * 0.002 / (300 * 0.032) = 1/12.

2) Distance from the butt end to the piston of the cylinder part with hydrogen: lO2 / lH2 = 1/12; L = lO2 + lH2 = lH2 / 12 + lH2 = 13lH2 / 12, whence we express: lH2 = 65 * 12/13 = 60 cm.

Answer: The piston is located 60 cm from the end.



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