# A Tank full of Helium in space?

A vessel of volume $$\displaystyle V$$ containing Helium($$\displaystyle He$$) is floating in space.

Find the velocity $$\displaystyle v$$ (in $$\displaystyle m/s$$)at which $$\displaystyle He$$ flows out of a small hole in the vessel.

Details and Assumptions:
$$\bullet$$ $$\displaystyle He$$ is a monoatomic gas.
$$\bullet$$ The vessel is thermally insulated.
$$\bullet$$ The outside pressure is $$\displaystyle 0 atm$$.
$$\bullet$$ Velocity inside the vessel is negligible.
$$\bullet$$ Temp. of the vessel is $$\displaystyle T = 1000K$$
$$\bullet$$ $$\displaystyle V = 1m^3$$

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