Brass has a density of $8\mathrm{.}40$ g cm$3$ and a specific heat capacity of $0\mathrm{.}385$ J g$1$C$1.$ A $10\mathrm{.}8$ cm$3$ piece of brass at an initial temperature of $171$C is dropped into an insulated container with $174\mathrm{.}0$ grams of water initially at $22\mathrm{.}2$C$.$ What will be the final temperature of the brass$-$water mixture?

The specific heat capacity of water is $4\mathrm{.}184$ J g$1$C$1.$

Enter your answer in $\backslash$deg C with $3$ significant figures.