The final temperature of the water mixture is 297 K.
Explanation:
It is said in the question that no heat is lost so we can conclude that heat lost is equal to heat absorbed by the sample.
The heat energy absorbed or lost can be calculated from the equation:
q=m.c. change in temperature
q= heat gain or loss
m = mass of the sample
c= specific heat of the substance
change in temperature
Heat loss will be equal to heat gain as the temperature difference is large between the samples.
-Δt Heat loss =Δ heat gain
So by comparing the heat absorbed or lost.
mhot. c.Δt hot= mcold.c.Δt cold
-0.526. 2.01.(ΔTf- 446) = 4.186. 4.18.(ΔTf-288)
-1.0572ΔTf+ 471.53= 17.49 ΔT- 5039.27
ΔTf= 297K
