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14 September, 12:50

Calculate the thermal energy in a cubic meter of air at room temperature and one atmosphere. Is it possible to extract this energy to charge your mobile phone? Explain.

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  1. 14 September, 14:01
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    312 kJ

    Explanation:

    The thermal energy contained in a cubic meter of air at room temperature (20 C) and one atmosphere (101 kPa) would be.

    H = Cv * T + p * V

    Being

    Cv: specific heat of air at constant volme (0.72 kJ / (kg*K))

    T: temperature in absolute scale (20C is 293 K)

    Then:

    H = 0.72 * 293 + 101 * 1 = 312 kJ

    The only way to extract thermal energy from a body and turn it into useful work (such as charging a phone) is to exchange heat with it and a another colder body. So, with just the air at room temperature it is impossible to extract its heat energy.
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