Kinetic Theory of Gases

The R.M.S. speed of $H_2$ molecules is $C$ at $27°\mathrm{C}.$ The molecules break into atoms. What should be the new temperature such that atoms have the same speed as molecules (Assume the mass of $H_2$ molecules is twice the mass of $H$-atom)

If the water is converted into ice, and its entropy is changed by $\mathrm{\Delta }S,$ then

The molecules of a monoatomic gas has r.m.s. speed$v$  at $27°\mathrm{C}$. It is heated until the r.m.s. speed becomes $2v$. What is the new temperature?