A brass calorimeter cup with a specific heat of $380$ J$/($kg $\backslash$deg C$)$ contains milk with a specific heat of $4,186$ J$/($kg $\backslash$deg C$)$ at $24\mathrm{.}0\backslash$deg C$.$ The combination is heated uniformly so that the temperature changes by $1\mathrm{.}30\backslash$deg C per minute. If the cup has a mass of $100$ g and contains $900$ g of the liquid, determine the rate at which heat energy is added $($in W$).$