A 70g chunk of metal at 180 oc was dropped in a bucket containing 400g of water at 25oc? The final temp of the mixture was 28oc. What is the specific heat capacity of the metal? The SHC of water is 4.184
Since heat goes from hot to cold, the metal will release heat and the water will absorb that same heat released as energy is released not destroyed.
You can assume that the heat energy of the metal equals the heat energy of water will be equal.
-m x c x change in temp = mass x c x change in temp
-70 x cx (28-180) = 400 x 4.184 x (28-25)
The reason why q is negative on the left side is because the temparture of h20 is going up whilst the temp of the metal is going down, thus to balance this one side of the equation has to be negative