Metal cubes in water
Two metal cubes, one of aluminum, the other one of an unknown allow that is 1.5 times heavier, are put
into a perfectly insulated vessel containing 0.11 liters of water at 20 $^\circ$C. Each cube is 2 cm on a side and
initially at temperature 66 $^\circ$C. After a while a new thermal equilibrium sets in, at temperature 33 $^\circ$C. What
is the specific heat of the unknown alloy? Round your answer to 2 decimal places.
Use for the specific heat of water $c_w = 4186$ J/(kg K), the specific heat of aluminum $c_{al} = 922$ J/(kg
K) and for the density of aluminum $\rho_{al} = 2700$ kg/m$^3$
[Hint: Evaporation may be neglected.]
Cun = 4973.71 J/(kg K)