ssume all temperatures to be exact.

A 0.240-kg coffee cup at 27∘C is filled with 0.200kg of brewed coffee at 96∘C. The cup and the coffee come to thermal equilibrium at 84∘C.

Part A
If no heat is lost to the environment, what is the specific heat of the cup material? [Hint: Consider the coffee essentially to be water.]

1 answer

the sum of the heats gained is zero.
Heat gained by cup+heatgained coffee=0

.240ccup*(84-27)+.200*cwater*(84-96)=0

put in the value for thespecifice heat of water (cwater), solve for ccup.