Suppose that the root$-$mean$-$square velocity $v_{rms}$ of water molecules $($molecular mass is equal to $18\mathrm{.}0\frac{g}{m}ol)$ in a flame is found to be $1\mathrm{.}17{10}^3\frac{m}{s}.$

The Boltzmann constant is $k=1\mathrm{.}38{10}^{-23}\frac{J}{K}.$ Avogadro's number is $N_A=6\mathrm{.}022{10}^{23}mo{l}^{-1}.$

What is the temperature $T$ of the water molecules?