How to Calculate Caloric Requirement for Increasing Temperature of Iron
What is the formula to calculate the calories required to increase the temperature of iron?
Given specific heat of iron (Fe) = 0.450 J/g °C, mass of iron = 15.6 g, initial temperature = 122 °C, and final temperature = 355 °C.
Calculation and Explanation
Heat required to boil 15.6 g of iron from 122 °C to 355 °C can be calculated using the formula:
Q = m * s * ΔT
Where,
m = mass of iron
s = specific heat of iron
ΔT = change in temperature in Celsius
Substitute the values:
Q = 15.6 g * 0.45 J/g/°C * (355 - 122) = 1.63 * 10^3 J
Convert the energy to calories using the conversion factor:
1 cal = 4.2 J
Q = (1.63 * 10^3) / 4.2 = 0.389 kcal
Therefore, 0.389 kcal of energy is required by 15.6 g of Iron to reach 355 °C.