Step-by-step explanation:
We have to find the amount of heat necessary to heat 403 g of ethanol from 29 to 35°C. When we have to find the amount of heat that is necessary to change the tempearature of a sample we usually use this formula.
Q = m * C * ΔT
Where Q is the heat absorbed or released by the sample, m is the mass of the sample, C is the specific heat of the compound and ΔT is the temperature change.
m = 403 g
C = 2.46 J/(g°C)
ΔT = Tfinal - Tinitial = 35 °C - 29 °C
ΔT = 6.0 °C
We can replace these values in the formula and find the answer to our problem.
Q = m * C * ΔT
Q = 403 g * 2.46 J/(g°C) * 6 °C
Q = 5948 J
Answer: the heat required to raise the temperature of the sample is 5948 J.