Final answer:
To raise the temperature of an 850 g aluminum block from 22.4°C to a hypothetical final temperature of 100°C, 59.316 kJ of heat is required, calculated using the specific heat capacity of aluminum (900 J/kg°C) and the change in temperature formula.
Step-by-step explanation:
To calculate how much heat is required to raise the temperature of an 850 g block of aluminum from 22.4°C, we must use the specific heat capacity of aluminum, which is given as 0.900 J/g°C (or 900 J/kg°C). However, the final temperature is not specified in your question, so we'll use an example with a hypothetical final temperature. Let's assume we want to raise the temperature to 100°C. The formula to calculate the heat transfer, Q, is Q = mass * specific heat capacity * change in temperature (ΔT).
First, we convert the mass of aluminum from grams to kilograms since the specific heat capacity is given in J/kg°C:
850 g = 0.850 kg.
Next, we calculate the change in temperature (ΔT):
ΔT = final temperature - initial temperature
ΔT = 100°C - 22.4°C
ΔT = 77.6°C.
Finally, we use the formula to calculate the required heat:
Q = 0.850 kg * 900 J/kg°C * 77.6°C
Q = 59316 J, or 59.316 kJ.
Therefore, 59.316 kJ of heat would be required to raise the temperature of the 850 g aluminum block from 22.4°C to 100°C.