First slide
First law of thermodynamics
Question

A resistance coil connected with wire to an external battery is placed inside an adiabatic cylinder fitted with a frictionless piston of area of cross-section 5×104m2of mass 5 kg and containing an ideal gas. A current 0.2 A flows through the coil which has a resistance 500Ω . The constant speed v with which the piston move upwards in order that the temperature of the gas remains unchanged is (P0 = 105 N/m2, g = 10 m/s2)

Moderate
Solution

W=P0A+mgV
Rate of heat produced = I2R
V=I2RP0A+mg

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