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An ideal gas is held within a cylinder by a frictionless piston that, because of its...

An ideal gas is held within a cylinder by a frictionless piston that, because of its mass, exerts a constant force on the gas in the cylinder.The gas is initially at 2.3 bar absolute pressure and 30oC in the cylinder, and occupies a volume of exactly 20.0 liters.

The cylinder is equipped with an internal electric heater to heat the gas. The heater is turned on and produces 150 W of power for three minutes. At the end of this three-minute period, the gas occupies a volume of 33.5 liters.  

a. What is the final temperature of the gas in the cylinder?

b. How much heat was lost to the surroundings from the cylinder during the three-minute heating period?

HINTS:           The work done by the gas can be written as W =P?V of the gas.

                        The change in internal energy (?U) of the gas is 20.8*?T (J/mol).

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