Answer:
20.11 g.
Explanation:
What is given?
c (specific heat of iron) = 0.450 J/g °C.
Q (heat energy) = 179.85 J.
ΔT (change of temperature) = |31.42 °C - 51.29 °C| = 19.87 °C.
What do we need? Mass of iron (m)
Step-by-step solution:
Let's see the formula of specific heat:
[tex]c=\frac{Q}{m\cdot\Delta T}[/tex]Where c is specific heat, Q is heat energy, m is mass and ΔT is the change of temperature.
We just have to solve for 'm' to find the mass of iron and replace the given data that we have, like this:
[tex]m=\frac{Q}{c\cdot\Delta T}=\frac{179.85\text{ J}}{0.450\text{ }\frac{J}{g\cdot\degree C}\cdot19.87\degree C}=20.11\text{ g.}[/tex]The mass of the iron would be 20.11 g.