To practice Problem$-$Solving Strategy $12\mathrm{.}1$ Calorimetry problems.

On a hot summer day, you decide to make some iced tea. First, you brew $1\mathrm{.}50$ LL of hot tea and leave it to steep until it has reached a temperature of TteaTtea $=75\mathrm{.}0$C$$C$.$ You then add $0\mathrm{.}975$ kgkg of ice taken from the freezer at a temperature of TiceTice $=0$C$$C$.$ By the time the mix reaches equilibrium, all of the ice has melted. What is the final temperature TfTf of the mixture?

For the purposes of this problem, assume that the tea has the same thermodynamic properties as plain water.

The specific heat of water is cc $=4190$ J$/$kg$$CJ$/$kg$$C$.$

The heat of fusion of ice is LfLf $=3\mathrm{.}33105$ J$/$kgJ$/$kg $.$

The density of the tea

Find the equilibrium temperature TfTf of the system.

Express your answer numerically in degrees Celsius.