A resistance coil connected with wire to an external battery is placed inside an adiabatic cylinder fitted with a frictionless piston of area of $$cross-section$$ $$5$$×$$10$$−$$4m2of$$ mass $$5$$ kg and containing an ideal gas. A current $$0.2$$ A flows through the coil which has a resistance $$500$$Ω . 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)

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 $$cross-section$$ $$5$$×$$10$$−$$4m2of$$ mass $$5$$ kg and containing an ideal gas. A current $$0.2$$ A flows through the coil which has a resistance $$500$$Ω . 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)

Infinity Learn · Accepted Answer

$$W=P0A+mgVRate$$ of heat produced $$=$$ $$I2RV=I2RP0A+mg$$

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