Question

Determine the specific heat of unknown metal from the fact that 6.40 * 10-2kj are needed to raise the temperature of 15g of unknown metal from 22 degrees Celsius to 33 degrees Celsius?

Answer 1

`c=3.88 * 10^-4 "kJ"/("g"*"degC")`

`c = 0.388 "J"/("g"*"degC")`

Explanation:

Let's start with the equation `Q=mcDeltaT`

We know `Q`, `m`, and `DeltaT`, we just need to find `c`, so with some rearranging:

`c = Q/(m*DeltaT)`

Now we plug everything we know from the equation in:

`c= (6.40 * 10^-2 "kJ")/(15 "g" * (33 "degC" - 22 "degC"))`
`c= (6.40 * 10^-2 "kJ")/(15 "g" *(11 "degC"))`

`c=3.88 * 10^-4 "kJ"/("g"*"degC")`

`c = 0.388 "J"/("g"*"degC")`

Hope this helps!