The final temperature of the water mixture if no heat is lost?

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

i just calculated it all out, and not including weekends, and all the different days off. as of this school year (2018-2019) students are spending 2198 hours in school this year