Hot water is added to three times its mass of water at 10oC and the…

Hot water is added to three times its mass of water at 10oC and the resultant temperature is 20oC. What is the initial temperature of the hot water?
  • A.
    100oC
  • B.
    80oC
  • C.
    50oC
  • D.
    40oC
Correct Answer: Option C
Explanation

Heat loss = heat gained
mh x ch x (theta)h = mc x cc x (theta)c
mh x ch x ((theta) – 20) = mc x cc x (20 – 10)
ch = cc ; mc = 3mh
therefore, (theta) = 50oC

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