A canister of 1.3mol of N2 gas (28 g/mol) at 23.0 ? C is left on Jupiter\'s sate

Question

A canister of 1.3mol of N2 gas (28 g/mol) at 23.0?C is left on Jupiter's satellite after completion of a future space mission. Europa has no appreciable atmosphere, and the acceleration due to gravity at its surface is 1.30 m/s2. After some time, the canister springs a small leak, allowing molecules to escape through a small hole.What is the maximum height (in km) above Europa's surface that a N2 molecule having speed equal to the rms speed will reach if it is shot straight up out of the hole in the canister? Ignore the variation in g with altitude

Explanation / Answer

Using v_rms = (3RT/M)^(1/2) and converting kinetic energy to potential we find that it will rise 202 km above the surface.

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