Respuesta :
The final temperature of the mixture is 33.123 °C.
What is temperature?
Temperature can be defined as the hotness or coldness of a thing or place.
To calculate the final temperature of the mixture, we use the formula below.
Formula:
- Heat gained by the cold water = heat lost by the hot water
- cm(t₃-t₁) = cm'(t₂-t₃)
- m((t₃-t₁) = m'(t₂-t₃)......... Equation 1
Where:
- m = mass of the cold water
- m' = mass of the hot water
- t₁ = Temperature of the cold water
- t₂ = Temperature of the hot water
- t₃ = Temperature of the mixture.
make t₃ the subject of the equation
- t₃ = (mt₁+m't₂)/(m+m')............. Equation 2
From the question,
Given:
- m = 5 kg
- m' = 3kg
- t₁ = 5 °C
- t₂ = 80 °C
Substitute these values into equation 2
- t₃ = [(5×5)+(3×80)]/(3+5)
- t₃ = (25+240)/8
- t₃ = 33.123 °C
Hence, The final temperature of the mixture is 33.123 °C.
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