Answer to Question #190214 in Molecular Physics | Thermodynamics for neil

Question

Four hundred grams of aluminum at 100 ᵒ C is dropped into 100 g of water at 20 ᵒ C

contained in a copper calorimeter of mass 80 g. What is the final temperature of the mixture?

Answer 1

for aluminum

mass M₁=400g

T₁=100+273=373K

specific heat of aluminum S₁=0.902

for copper

M₂=100g

T₂=20+273=293K

S₂=0.385

M₁S₁(T₁-T)=M₂S₂(T-T₂)

3.608(373-T)=0.385(T-293)

9.3(373-T)=T-293

3468.9-9.3T=T-293

10.3T=3761

T=365K

T=365-273

T=92^OC