Temperature of water and heat supplied


Assignment:

Water is the most important substance on Earth. One reason for its usefulness is that it exists as a liquid over a wide range of temperatures. In its liquid range water absorbs or releases heat directly in proportion ot its change in temperature.

Consider the following data that shows temperature of a 1,000 g sample of water at normal atmospheric pressure as a function of heat supplied. A kj can simply be thought of a unit of heat.

Temperature Heat Supplied
0 oC 0 kj
10 oC 42 kj
30 oC 126 kj
50 oC 209 kj
80 oC 335 kj
99 oC 414 kj
100 oC 420 kj
Based on these data, please supply the following:

Q1. Provide a graph of the data. Is the graph sufficiently to allow prediction of heat supplied versus temperature in the range of 0-100 oC?

Q2. If so, provide an equation that relates heat, y, supplied to temperature, x, in the range of 0-100 oC.

Q3. Are the results consistent with the expected equation, heat = (1.00cak/g oC) * mass in grams*

Q4. Use your equation to solve for the following:
*heat supplied at 60 oC
*final temperature when 175 kj of heat has been supplied
*initial temperature if 200 kj of heat is added and final temperature is 50 oC

Q5. Can the model supply heat/temperature data in other ranges, for example at -5 oC or at 150 oC? Explain why or why not.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Temperature of water and heat supplied
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