What is the heat capacity of the thermos?

Chimezie

New member
A 1008 g sample of water is heated to boiling.
During the heating, 8 g of water is lost from vaporization.
Most of the water is lost near the boiling point. (The heat
of fusion of water is 80 cal/g, and the heat of vaporization
of water is 540 cal/g. There are 4.184 J in one calorie.)

A 500 g pewter teapot and an insulated thermos are in
a 21°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, and 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
pewter is 0.17 J/g•K and that of water is 4.184 J/g•K. The
entire procedure is done under a pressure of 1.0 atm.

After the tea is added to the thermos, the temperature
of the liquid quickly falls from 80°C to 76.9°C as it
reaches thermal equilibrium with the thermos flask.
What is the heat capacity of the thermos?
 
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