A student nicely places a piece of metal into a cup with 36.00g of 33.0°C water. The hot metal caused the water temperature in the cup to go up to 37.8°C.

Question

How much heat did the water absorb from the metal?

i just need to know how to set it up.

Answer 1

First law of thermodynamics - energy is not created or destroyed, but transferred. We can interpret this as:

qin + qout = 0, or qin = -qout, or qwater = -qmetal

q=m*cp*(Tf-Ti). You have the mass and the heat capacity of water (4.184J/gC). From there, you should be able to figure this out.