Question

A perfectly insulated thermos contains 0.300 kg of water initially at 50 degrees C. A mass os of 0.100 kg of water initially at 10 degrees C is added. Ignore any heat exchanges with the outside environment. Take the specific heat capacity of liquid water as 4190 J/kgK. A) Draw a diagram for the situation, indicating the relative masses and temperatures. B) Find the final temperature of the combined water after they have mixed and attained thermal equilibrium (HINT: equate the sum of the heat transfers from the two quantities of water to zero and solve for the final temperature). C) In a separate perfectly insulate thermos containing 0.300 kg of water initially at 50 degrees C, ice at -20 degrees C will be added until the final temperature of the system is 0 degrees C. Draw a diagram for the situation, indicating the relative masses and temperatures. D) Find the mass of ice that must be added to reach the final temperature of 0 degrees C. Take the specific heat capacity of ice as 2.0x10^3 J/kgK, and its latent heat of fusion as 3.34x10^5 J/kgK. Hint: equate the sum of the three heat transfers to zero and find the unknown mass.

Answer #1

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