In an experiment to simulate conditions within an automobile engine, $0\mathrm{.}190$ molmol of air at a temperature of $730$ KK and a pressure of $2\mathrm{.}50106$ PaPa is contained in a cylinder of volume $460$ cm$3$cm$3.$ Then $640$ JJ of heat is transferred to the cylinder.

Part A

If the volume of the cylinder is constant while the heat is added, what is the final temperature of the air? Assume that the air is essentially nitrogen gas.

Express your answer in kelvins.

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Part B

If instead the volume of the cylinder is allowed to increase while the pressure remains constant, find the final temperature of the air.

Express your answer in kelvins.