How much heat is required to raise eight kgs of copper from 25 degrees C to 50 degrees C?

To determine the amount of heat required to raise the temperature of a given mass of copper, the formula used is:

Q = m × c × ΔT

where:

• Q is the heat energy (in joules),

• m is the mass (in kilograms),

• c is the specific heat capacity (in joules per kilogram per degree Celsius),

• ΔT is the change in temperature (in degrees Celsius).

For copper, the specific heat capacity is approximately 0.385 J/g°C or 385 J/kg°C.

First, we convert the mass from kilograms to grams since the specific heat capacity is given in joules per gram:

m = 8 kg = 8000 g

Next, we can determine the temperature change (ΔT):

ΔT = final temperature - initial temperature = 50°C - 25°C = 25°C

Now we can plug in the values into the formula:

Q = 8000 g × 0.385 J/g°C × 25°C

Calculating that, we find:

Q = 8000 × 0.385 × 25

Q = 77,000 J

The heat required is therefore 77.6 kJ, which confirms that the