Three liquids A, B and C have masses m₁, m₂, m₃, heat capacities C₁, C₂, C₃ and temperatures T₁, T₂, T₃, respectively. If all three liquids are mixed, the final temperature is:
Options

Question

Three liquids A, B and C have masses m₁, m₂, m₃, heat capacities C₁, C₂, C₃ and temperatures T₁, T₂, T₃, respectively. If all three liquids are mixed, the final temperature is:

G1 Physics · Accepted Answer

Here C₁, C₂ and C₃ are the heat capacities of liquids A, B and C. Energy conservation gives C₁(T₁−T)+C₂(T₂−T)+C₃(T₃−T)=0. Hence T=(C₁T₁+C₂T₂+C₃T₃)/(C₁+C₂+C₃). Option A.