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?

1 Answer
Feb 22, 2018

#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!