A piston-cylinder assembly has 1 kg of air at 700 kPa and 400C. The piston cross-sectional area is 0.5 m2 , and the total external force restraining the piston is directly proportional to the cylinder volume squared. Heat is transferred to the air until its temperature reaches 7000C. Determine the final pressure inside the cylinder, the work done by the air, and the heat transfer during the process.

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