The final temperature is 297K
Heat transfer refers to any or all of several types of phenomena that, as mechanisms, transport energy and entropy from one location to another.
Given the temperature of water T1 = 282k
The volume of water v1 = 30ml
The temperature of water T2= 306k
The volume of cold water v2 = 50ml
We must determine the mixture's final temperature.
The temperature of the mixture at the end is given by
V1(T-T1) = V2(T2-T)
30(T-282) = 50 (306 – T)
30T – 8460 = 15300 – 50T
80T = 23760
T = 23760/80
T = 297k
Therefore the final temperature is 297K
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