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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