Explore BrainMass

Explore BrainMass

    Water's heat capacity

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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) * mass in grams * (final temperature - initial temperature)? Please comment.
    4. 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 the final temperature is 50 oC
    5. Can the model supply heat/temperature data in other ranges, for example at -5 oC or at
    150 oC? Explain why or why not.

    © BrainMass Inc. brainmass.com March 4, 2021, 8:16 pm ad1c9bdddf


    Solution Preview

    Hello and thank you for posting your questions to Brainmass.

    The solution is attached in two files which are identical in content but differ in format. One is an MS-Word document while ...

    Solution Summary

    The solution shows how to retrieve the heat capacity of water using a linear regression of data points.
    The solution includes an Excel file.