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## Homework Statement

(Q) Hydrogen molecules have a mass of 2u and oxygen molecules have a mass of 32u, where u is defined as an atomic mass unit (u = 1.660540 \times 10^{-27}\; {\rm kg}). Compare a gas of hydrogen molecules to a gas of oxygen molecules.

At what gas temperature T_rms would the root-mean-square (rms) speed of a hydrogen molecule be equal to that of an oxygen molecule in a gas at 300 K?

State your answer numerically, in kelvins, to the nearest integer.

## Homework Equations

v = sqrt(3kT/m) where k is Boltzmann's constant.

## The Attempt at a Solution

Using the above equation gives that Temperature is 300/16 = 18.75K. I know that this is a crazy answer but please don't laugh

What's wrong with my solution?