Final answer:
Approximately 30,168 Joules of heat is needed to raise the temperature of 257g of ethanol from 12.5°C to 61.6°C.
Step-by-step explanation:
To calculate the amount of heat required to raise the temperature of a substance, we can use the equation:
Q = mcΔT
Where:
- Q is the heat energy (in Joules)
- m is the mass of the substance (in grams)
- c is the specific heat capacity of the substance (in J/g°C)
- ΔT is the change in temperature (in °C)
Plugging in the values for the given problem:
- m = 257g
- c = 2.4 J/g°C
- ΔT = (61.6°C - 12.5°C) = 49.1°C
Using the equation:
Q = (257g) × (2.4 J/g°C) × (49.1°C)
Q ≈ 30,168 J
Therefore, approximately 30,168 Joules of heat is needed to raise the temperature of 257g of ethanol from 12.5°C to 61.6°C.