A $0\mathrm{.}554g$ sample of steam at $106\mathrm{.}0C$ is condensed into a container with $5\mathrm{.}20g$ of water at $16\mathrm{.}4C.$ What is the final

temperature of the water mixture if no heat is lost? The specific heat of water is $4\mathrm{.}18\frac{J}{g*C},$ the specific heat of steam is

$2\mathrm{.}01\frac{J}{g*C},$ and $H_{\text{v}\text{a}\text{p}}=40\mathrm{.}7k\frac{J}{m}ol.$

$T_f=$