One mole of an ideal gas is heated slowly so that it goes from the PV state (Pi, Vi) to (6Pi, 6Vi) in such a way that the pressure is directly proportional to the volume. (a) How much work is done on the gas in the process? (Use any variable or symbol stated above along with the following as necessary: n and R.)W =(b) How is the temperature of the gas related to its volume during this process? (Do not substitute numerical values; use variables only. Use the following as necessary: n, R, V, Vi, and Pi.)T =

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