SOLUTION: The volume of an ideal gas varies directly with the temperature T and inversely with the Pressure P. A cylinder contains 15 liters of oxygen at a temperature of 240 K and a pressu

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Question 37605: The volume of an ideal gas varies directly with the temperature T and inversely with the Pressure P. A cylinder contains 15 liters of oxygen at a temperature of 240 K and a pressure of 80 atmospheres. If a piston is lowered into the cylinder decreasing the volume occupied by the gas to 10 liters and the temperature remains constant, what is the pressure?
Answer by venugopalramana(3286) About Me  (Show Source):
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The volume - V of an ideal gas varies directly with the temperature T and inversely with the Pressure P.
V=K*T/P...WHERE K IS A CONSTANT
A cylinder contains 15 liters of oxygen at a temperature of 240 K and a pressure of 80 atmospheres.
15=K*240/80=3K
K=15/3=5 LITRE.ATM./DEG.K
V=5T/P
If a piston is lowered into the cylinder decreasing the volume occupied by the gas to 10 liters and the temperature remains constant, what is the pressure?
10=5*240/P
P=5*240/10=120 ATM.