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15 July, 00:01

When 1224 J of heat energy is added to 39.6 g of ethanol, C 2 H 6 O, the temperature increases by 12.6 ∘ C. Calculate the molar heat capacity of C 2 H 6 O.

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  1. 15 July, 00:08
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    The molar heat capacity is 112.96 J/mol°C

    Explanation:

    Step 1: Data given

    Amount of energy = 1224 J

    Mass of ethanol = 39.6 grams

    Temperature increases by 12.6 °C

    Step 2:

    Molar heat capacity is a measure of the amount of heat necessary to raise the temperature of one mole of a pure substance by one degree K.

    Specific heat capacity is a measure of the amount of heat necessary to raise the temperature of one gram of a pure substance by one degree K.

    Step 3: Calculate moles of ethanol

    Moles ethanol = mass of ethanol / molar mass ethanol

    Moles ethanol = 39.6g / 46.07 g/mol

    Moles ethanol = 0.860 moles

    Step 4: Calculate the specific heat capacity

    q = m*c*ΔT

    1224 = 39.6 * c * 12.6

    the specific heat capacity of ethanol = 2.45 J/g°C

    Step 5: Calculate the molar heat capacity

    q = n * c * ΔT

    1224 J = 0.860 moles * c * 12.6 °C

    c = 112.96 J/mol°C

    This can be controlled by: specific heat capacity * molar mass

    2.45 J / g°C * 46.07 g/mol = 112.9 J / mol °C

    The molar heat capacity is 112.96 J/mol°C
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