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Spring 2018 Calculating work. A gas is enclosed in a cylinder fitted with a light piston that moves without friction. This piston always exerts a constant, atmospheric pressure on the gas so that the pressure within the gas is constant, atmospheric pressure. 4. Sketch a plot of pressure vs. volume in this situation. To do this, you can plot points. What is the pressure of the gas when the volume is 12.0 m? 18.2 m? When 1250 kJ of heat is added to the gas, the volume of the gas increases from 12.0 m3 to 18.2 m3. What is the work done on the environment by the gas in this process? What is the work done on the gas by the environment in this process? What is the energy change of the gas? What is the energy change of the environment? a. b. 5. Calculating work: changing volume and pressure, constant temperature. Set up an expression (integral) to calculate the work done by external forces i an ideal gas expands in volume from 1.0 m2 to 6.0 m while its temperature remains constant a. da -In(a) (pressure is not constant). If you want to solve this integral, recall that J re in(r) ln(a)-In(b) . and ft eideal tu atio Sketch a plot of pressure vs. volume of the ideal gas in this situation. To do this, you can plot points. What is the pressure of the gas when the volume is 1.0 m2? 6.0 m2? Use the ideal gas law to determine the shape of the plot b.
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