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A vertical cylinder with a freely floating piston contains 0.1 kg air at 1.2 bar and a small electrical resistor. The resistor is wired to an external 12 Volt battery. When a current of 1.5 amps is passed through the resistor for 90 secs, the piston sweeps a volume of 0.01 m3. Assume (i) piston and the cylinder are insulated and (ii) air behaves as a ideal gas with CV = 700 J/kg K. Find the rise in temperature of air.

 

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