The final temperature of the mixed water is 17.43°C.
Principle of Calorimeter:
The body at a higher temperature releases heat while the body at a lower temperature absorbs heat. The principle of calorimetry indicates the law of conservation energy, i.e. the total heat lost by the hot body is equal to the total heat gained by the cold body.
From the calorimeter principle we have:
heat loss by hot water = Heat gained by the cold water
The formula for the heat gained or loss:
Q = m.c.ΔT
Q = heat gained or loss
c = specific heat
ΔT = temperature change
m1 = 100g
m2 = 75g
m2c ΔФ2 = m1c ΔФ1
75 × (71.6-T) = 100× ( T - 23.2)
5370 - 75T = 100T - 2320
175 T = 3050
T = 17.43°C
Therefore the final temperature is 17.43°C
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