A cylinder closed at both ends is divided into two equal parts by a heat-proof piston. Both parts of the cylinder contain the same masses of gas at a temperature t 0 = 27ºC and a pressure P 0 = 1 atm.
What distance from the middle of the cylinder will the piston be displaced if the gas in one of the parts is heated to t = 57ºC? What will be the pressure in this case in each part of the cylinder? The length of half the cylinder is l = 42 cm.
Text Solution
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Sol. Knowing that the masses of the gas are equal and taking into account that after the piston is displaced by an amount x the pressures will be the piston is displaced by an amount x the pressures will be the same in both parts of the cylinder , we may apply Gay-Lussac's law and obtain the ratio
= 
from which
x = l 
.
x = l 
= 2 cm; P = 
P 0 = 1.05 atm.0
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