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  • A resistance coil, connected to an external battery, is placed inside an adiabatic cylinder fitted with a frictionless piston and containing an ideal gas. A current I flows through the coil, which

A resistance coil, connected to an external battery, is placed inside an adiabatic cylinder fitted with a frictionless piston and containing an ideal gas. A current I flows through the coil, which has a resistance R. At what speed v must the piston move upward so that the gas temperature may remain Constant:

Option: 1

\mathrm{\frac{i^{2} R}{m g}}


Option: 2

\mathrm{\frac{i^{2}}{m g R}}


Option: 3

\mathrm{\frac{2 i^{2} R}{m g}}


Option: 4

\mathrm{\frac{i^{2} R}{2 m g}}


Answers (1)

best_answer

\mathrm{I^{\text {st }}} law of thermodynamics
\mathrm{\mathrm{dQ}=\mathrm{dU}+\mathrm{dw}}


For temperature unchanged \mathrm{\mathrm{dU}=0}
\mathrm{\mathrm{dQ}=\mathrm{dW}}

Hence \mathrm{i^{2} R t=m g x}
\mathrm{v=\frac{x}{t}=\frac{i^{2} R}{m g}}

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