4. Calorimeter A copper pot with a mass of 0.5 kg contains 0.17 kg of water, bot

Question

4. Calorimeter A copper pot with a mass of 0.5 kg contains 0.17 kg of water, both are at a temperature of 20 A 0.25 kg block of iron at 85 C is dropped into the pot. Calculate the final temperature of the system, assuming no heat is lost to the surroundings. 5. Graphing We reviewed parts of the following problem in tutorial. 100 grams of ice at -10°C is placed in a container. Heat is added to the container at a rate of 500 J/ second until the container contains 100 grams of water at +10°C. (A) Complete the table below. (B) Sketch a graph with time on the x-axis and temperature on the y-axis. Plot the temperature of the H2O as a function of time. Be sure to label the points you calculated for the table. Try your best to make the sketch to scale.

Explanation / Answer

4)

Let T (deg C) be the equilibrium temp of system

Heat lost by iron block = gained by copper & water

mi*ci (85 - T) = mc*cc*(T - 20) + mw*cw*(T - 20)

m = mass, c = specific heat capacity, c = copper, w = water, i = iron

0.25*0.45*10^3 (85 - T) = 0.5*0.385*10^3*(T - 20) + 0.17*4.18*10^3*(T - 20)

112.5 (85 - T) = 192.5*(T - 20) + 710.5*(T - 20)

112.5 (85 - T) = 903*(T - 20)

1015.5 T = 27622.5

T = 27.20 deg C

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