Answer: The metal is iron.
Explanation:
We have 59.1 grams of a given metal.
We need 890.9 joules of energy to heat the metal from 26.1°C to 59.6°C
First, we need to see the net increase in temperature, which is equal to the difference between the final temperature and the initial temperature.
ΔT = 59.6°C - 26.1°C = 33.5°C
Now we can find the specific heat, which is calculated as:
c = Ε/(ΔT*m)
Where:
E = energy given to the material = 890.9 J
m = mass of the material = 59.1 gr
ΔT = change in temperature = 33.5°C
Replacing these in the above equation we get:
c = 890.9 J/(33.5°C*59.1 gr) = 0.45 J/(gr*°C)
Now we need to look at a table of specific heats and see which metal has this specific heat.
We can see that iron is the best match, so we can assume that the metal is iron.
