the value of m, (the mass of water at 100°C) is 0.875 kg.
What is heat?
Heat is a form of energy that brings about the sensation of warmth or coldness.
Heat lost by the hot water = heat gained by the cold water + heat gained by the calorimeter.
To calculate the value of m, we use the formula below
Formula
- cm(t₁-t₃) = cm'(t₃-t₂)+C(t₃-t₂)........... Equation 1
Where:
- c = specific heat capacity of water
- m = mass of the hot water
- m' = mass of the cold water
- C = Thermal capacity of the calorimeter
- t₁ = Initial temperature of the hot water
- t₂ = Initial temperature of the cold water and the calorimeter
- t₃ = Temperature of the mixture
Make m the subject of the equation
- m = [cm'(t₃-t₂)+C(t₃-t₂)]/c(t₁-t₃).............. Equation 2
From the question,
Given:
- m' = 0.5 kg
- t₁ = 100 °C
- t₂ = 20 °C
- t₃ = 70 °C
- C = 105 J/K
- c = 4200 J/kg.K
Substitute these values into equation 2
- m = [0.5×4200(70-20)+105(70-20)]/[4200(100-70)]
- m = (105000+5250)/(12600)
- m = 110250/12600
- m = 0.875 kg.
Hence the value of m is 0.875 kg.
Learn more about heat here: https://brainly.com/question/13439286
