Final answer:
To calculate the amount of heat needed to melt and raise the temperature of a substance, we need to consider the specific heat capacity and the heat of fusion of the substance. First, calculate the heat needed to melt the solid acetic acid using the equation q = m × ΔHf, where q is the heat, m is the mass of the substance, and ΔHf is the heat of fusion. Next, calculate the heat needed to raise the temperature of the melted acetic acid using the equation q = m × c × ΔT, where c is the specific heat capacity of the substance and ΔT is the change in temperature. Finally, add the two heat values calculated above to obtain the total amount of heat needed.
Step-by-step explanation:
To calculate the amount of heat needed to melt and raise the temperature of a substance, we need to consider the specific heat capacity and the heat of fusion of the substance.
First, calculate the heat needed to melt the solid acetic acid using the equation:
q = m × ΔHf
where q is the heat, m is the mass of the substance, and ΔHf is the heat of fusion. For acetic acid, the heat of fusion is given as 79.9 cal/g.
Next, calculate the heat needed to raise the temperature of the melted acetic acid using the equation:
q = m × c × ΔT
where c is the specific heat capacity of the substance and ΔT is the change in temperature. For acetic acid, the specific heat capacity is approximately 0.6 cal/g°C.
Finally, add the two heat values calculated above to obtain the total amount of heat needed.