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