Calculate the amount of heat needed to boil 104.g of acetic acid (HCH3CO2), beginning from a temperature of 54.1°C. Be sure your answer has a unit symbol and the correct number of significant digits.

To solve this problem, we need to know the specific heat capacity of acetic acid, its boiling point, and its heat of vaporization.

1. The specific heat capacity of acetic acid is 2.09 J/g°C.
2. The boiling point of acetic acid is 118.1°C.
3. The heat of vaporization of acetic acid is 23.7 kJ/mol.

First, we need to calculate the amount of heat needed to raise the temperature of acetic acid from 54.1°C to its boiling point.

q1 = m * c * ΔT where m = mass = 104 g c = specific heat capacity = 2.09 J/g°C ΔT = change in temperature = boiling point - initial temperature = 118.1°C - 54.1°C = 64°C

q1 = 104 g * 2.09 J/g°C * 64°C = 13930.56 J

Next, we need to calculate the amount of heat needed to convert the acetic acid from liquid to gas at its boiling point.

q2 = n * ΔHvap where n = number of moles = mass / molar mass = 104 g / 60.052 g/mol = 1.73 mol ΔHvap = heat of vaporization = 23.7 kJ/mol = 23700 J/mol

q2 = 1.73 mol * 23700 J/mol = 41010 J

Finally, we add the two amounts of heat together to get the total amount of heat needed.

q_total = q1 + q2 = 13930.56 J + 41010 J = 54940.56 J

So, the amount of heat needed to boil 104 g of acetic acid, beginning from a temperature of 54.1°C, is approximately 54941 J (rounded to five significant digits).