A technician needs to raise the temperature of a 2 kg block of steel from 25 oC to 700 oC in an annealing process. How much energy, in Joules, must be transferred to the steel to produce this temperature rise? Specific heat=448J/kg C
To calculate the energy needed to raise the temperature of a substance, you can use the formula:
Energy (Q) = mass (m) × specific heat (c) × temperature change (ΔT)
In this case, the mass of the steel block is given as 2 kg, the specific heat is 448 J/kg°C, and the temperature change is from 25°C to 700°C. Let's substitute these values into the formula:
Q = 2 kg × 448 J/kg°C × (700°C - 25°C)
First, calculate the temperature difference:
Q = 2 kg × 448 J/kg°C × 675°C
Now, perform the multiplication:
Q = 2 × 448 × 675 J
Finally, calculate the total energy required:
Q = 604,800 J
Therefore, the amount of energy that needs to be transferred to the steel block to raise its temperature from 25°C to 700°C is 604,800 Joules.