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Answer :
The heat needed to melt 35.8 g of solid acetic acid and increase its temperature to 42.8 °C is calculated by adding the heat of fusion to the heat required for the temperature change, using the mass and specific heat capacity and assuming the relevant data for acetic acid is known.
To calculate the amount of heat needed to melt 35.8g of solid acetic acid (HC2H3O2) and bring it to a temperature of 42.8 °C, you would need to know the specific heat capacity of the acetic acid in both its solid and liquid states, as well as its heat of fusion. Assuming we had those values, the total heat (q) required would be the sum of the heat needed to melt the acetic acid and the heat needed to raise the temperature of the liquid acetic acid to 42.8 °C.
The heat (qfusion) to melt the acetic acid is calculated using the formula:
qfusion = m * ΔHfus
where m is the mass of the acetic acid and ΔHfus is the heat of fusion.
The heat (qtemp change) to raise the temperature of the liquid is calculated using the formula:
qtemp change = m * c * ΔT
where c is the specific heat capacity of liquid acetic acid and ΔT is the change in temperature.
So, the total heat would be:
qtotal = qfusion + qtemp change
Note, for accurate results, you need the specific numerical data for ΔHfus and c, which are not provided in the question.
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