Move the piston, you don't want it to burn

A resistor of resistance $R = 500 \Omega$ connected to an external battery is placed inside a cylinder fitted with a friction-less piston of mass $M=10\text{ kg}$ , area of cross section $10^{-3} \text{ m}^2$ and contains $2$ moles of an ideal mono-atomic gas. A current $i = 0.3 A$ flows through the resistance.

The temperature of the gas is maintained constant by moving the piston with a velocity $v$ upward (measured in $\text{m/s}$ ).

What is the value of $\lfloor 1000v \rfloor$ ?

Details and Assumptions

• The cylinder is thermally insulated.

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