Question:

How much heat is needed to raise the temperature of 5.28 gal of water from 25 celsius degree to 88.0 celsius?

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(1 gal = 3.785)

On my calculation, I got 5.292 *10^-3, but I was wrong. I don't know How to solve this

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2 ANSWERS


  1. Using the following equation:

    Q = m*c*(Tf - Ti)

    Where:

    v = volume of water = 5.28 gal = 0.01999 m^3

    m = mass of water = volume * density = 0.01999 m^3 * 1000kg/m^3 = 19.99 kg = 19986g

    c = average heat capacity of water = 4.1813 J/(g*C)

    Tf = 88C

    Ti = 25C

    Q = 19986g*4.1813 J/(g*C)*(88 - 25)C

    Q = 5265kJ


  2. Use the formula Q=mc(change in T)

    Q = (19.99 L)  (4.186 J/g*C)  (63 C)

    Q = 5271.7 kJ

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