HELP in math i suck at it?

Question

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 to its change in temperature.

Consider the following data that show 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 0C 420 kJ

Based on these data, please supply the following:
1. Provide a graph of the data. Is the graph sufficiently linear to allow prediction of heat supplied versus temperature in the range of 0–100 oC?
2. If so, use Microsoft Excel to provide an equation that relates heat, y, supplied to temperature, x, in the range of 0–100 oC.
3. Are the results consistent with the expected equation, heat = (1.00 cal/g oC

Answer 1

the equation is
y(kJ)=.24 x oC

1 cal = 4.184 Joules
so to get cal multiply .24*4.184
that is 1.00416,which can be rounded to 1.00

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