Physics - Heat & Thermo Question with Solution | TestHub

A $500\mathrm{g}$ teapot and an insulated thermos are in a $20{}^{\circ }\mathrm{C}$ room. The teapot is filled with $1000\mathrm{g}$ of boiling water. 12 tea bags are then placed into the teapot. The brewed tea is allowed to cool to $80{}^{\circ }\mathrm{C}$, then $250\mathrm{g}$ of the tea is poured from the teapot into the thermos. The teapot is then kept on an insulated warmer that transfers $500\mathrm{cal}$/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 $0.17J/g$ K and that of water is $4.18J/g$ K. The entire procedure is done under atmospheric pressure. There are $4.18\mathrm{J}$ in one calorie.