In interstellar space, the density of matter is about one hydrogen atom (a singl

Question

In interstellar space, the density of matter is about one hydrogen atom (a single atom of hydrogen, no diatomic hydrogen gas) per cubic centimeter. The temperature of the interstellar space is 2.70 kelvin. Find the root-mean-square velocity of these hydrogen atoms and find the pressure in atm in interstellar space.

H = 1.008^3x1.66e-23 DO I CUBE THE AMU OF H OR AFTER I MULTIPLY BY 1.66E-23? OR NOT AT ALL

T=2.70 K

Vrms = cube root (3x1.38e-23x2.7)/(1.008x1.66e-23)^3?

Please help. correct answer is 259 m/s. i get 2.59 m/s

please show all steps

Explanation / Answer

?rms = (3RT/M)

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