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Unformatted text preview: isothermal expansion ). The work done by the expanding gas is given by The ideal gas law provides us with a relation between the pressure and the volume Since T is kept constant, the work done can be calculated easily Note: Sample Problem 181 A cylinder contains oxygen at 20 ° C and a pressure of 15 atm. at a volume of 12 l. The temperature is raised to 35 ° C , and the volume is reduced to 8.5 l. What is the final pressure of the gas ? The ideal gas law tells us that The initial state of the gas is specified by V i , p i and T i ; the final state of the gas is specified by V f , p f and T f . We conclude that Thus The temperature T in this formula must be expressed in Kelvin: T i = 293 K T f = 308 K The units for the volume and pressure can be left in l and atm. since only their ratio enter the equation. We conclude that p f = 22 atm....
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 Fall '09

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