gituijnr
contestada

Water of mass 3 kg at a temperature of 80 ℃ is added to 5 Kg of water at 5 ℃. Calculate the final temperature of the mixture

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.

Learn more about temperature here: https://brainly.com/question/24746268