how much heat must be added to 4.00 kg of aluminum to cause its temperature to rise from 22 degrees C? unit of answer must be joule

To calculate the amount of heat required to raise the temperature of a substance, we can use the specific heat capacity formula:

Q = m * c * ΔT

Where:
Q is the amount of heat in Joules,
m is the mass of the substance in kilograms,
c is the specific heat capacity of the substance in Joules per kilogram per degree Celsius (J/kg°C), and
ΔT is the change in temperature in degrees Celsius.

First, we need to find the specific heat capacity of aluminum. The value for aluminum is approximately 900 J/kg°C.

Next, we need to calculate the change in temperature, ΔT. The problem states that the temperature of aluminum needs to rise, but it does not provide the final temperature. We'll assume a final temperature of 100 degrees Celsius for illustrative purposes:

ΔT = final temperature - initial temperature
= 100°C - 22°C
= 78°C

Now we can plug in the values:

Q = 4.00 kg * 900 J/kg°C * 78°C
Q = 280,800 Joules

Therefore, the amount of heat required to raise the temperature of 4.00 kg of aluminum by 78°C is 280,800 Joules.