Question

A 200g piece of iron absorbs 8980 joules to raise the temperature from 20°C to 120°C. Find the specific heat of iron?

Answer 1

The specific heat of iron is 0.449 J/g°C.

Step-by-step explanation:

First, let's see the formula of specific heat:

`c=(q)/(m\cdot\Delta T)\begin{cases}{q=amount\text{ of heat \lparen Joules\rparen}} \\ {m\text{ = mass of substance \lparen grams\rparen}} \\ \Delta T={Change\text{ of temperature \lparen\degree C\rparen}}\end{cases},`

Now, we have to replace the given data in the formula, where q = 8980 J, m = 200 g and ΔT = Final temperature - Initial temperature = 120 °C - 20 °C = 100 °C:

`c=\frac{8980\text{ J}}{200\text{ g}\cdot100\degree C}=0.449(J)/(g\degree C).`

The specific heat of iron is 0.449 J/g°C.