A 500 g teapot and an insulated thermos are in a 20^(@)C room. The teapot is filled with 1000 g of the boiling water. 12 tea bags are then placed into the teapot. The brewed tea is allowed to cool to 80^(@)C, then 250 g of the tea is poured from the teapot into the thermos. The teapot is then kept on an insulated warmer that transfers 500 cal//min to the tea. Assume that the specific heat of brewed tea is the same as that of pure water, and that the tea bags have a very small mass compared to that of the water, and a negligible effect on the temperature. The specific heat of teapot is 0.17 J//g K and that of water is 4.18 J//g K. The entire procedure is done under atmospheric pressure. There are 4.18 J in one calorie. If, after some of the tea has been transferred to the thermos (as described in the passage), the teapot with its contents (at a temperature of 80^(@) C)was placed on the insulated warmer, what would be the temperature at the end of this 5 minute period?(Assume that no significant heat transfer occurs with the surroundings)