How much energy is required to raise the temperature of 22.8 g of copper from 30°C to 1250°C?
To calculate the amount of energy required to raise the temperature of a substance, you can use the formula:
Energy = mass × specific heat capacity × temperature change
First, you need to determine the specific heat capacity of copper. The specific heat capacity is the amount of heat energy required to raise the temperature of 1 gram of a substance by 1 degree Celsius.
The specific heat capacity of copper is approximately 0.39 J/g°C.
Next, you need to calculate the temperature change. The initial temperature is 30°C, and the final temperature is 1250°C. Therefore, the temperature change is:
Temperature change = final temperature - initial temperature
= 1250°C - 30°C
= 1220°C
Now, plug in the values into the formula:
Energy = mass × specific heat capacity × temperature change
Mass of copper = 22.8 g
Specific heat capacity of copper = 0.39 J/g°C
Temperature change = 1220°C
Energy = 22.8 g × 0.39 J/g°C × 1220°C
Simplify the calculation:
Energy = 10613.68 J
Therefore, it requires approximately 10613.68 Joules of energy to raise the temperature of 22.8 g of copper from 30°C to 1250°C.