A27.5 −g aluminum block is warmed to 65.6 ∘c and plunged into an insulated beaker containing 55.5 g water initially at 22.0 ∘c. the aluminum and the water are allowed to come to thermal equilibrium.

Final temperature T is 26.197 degrees celcius.

Explanation:

As the system is in thermal equilibrium, the heat lost by aluminium is the heat gained by water.

specific heat capacity of aluminium = 0.9 J/g per degree celcius

specific heat capacity of water = 4.186 J/g per degree celcius

Let the final common temperature attained be "T".

Heat lost by aluminium =

Heat gained by water =

by law of conservation of energy,

Heat lost by hot body = Heat gained by cold body

=

calculating the value of T comes out as 26.197 degrees celcius.

it is the most commonly accepted one