The final temperature of the water after addition to the heated water at 20° C in degree kelvins' is calculated as; 295.23 K
<h3>What is the Final Temperature?</h3>
We are given;
mass of the initial water; m₁ = 2.5 kg
specific heat capacity of water; c = 4189 J/kg.K
initial temperature of water; T₁ = 13.5 ⁰C
final temperature of the water; T₂ = 22.5 ⁰C
mass of the final water; m₂ = 0.5 kg
initial temperature of the final water; T₁,i = 20 ⁰C
If the system is isolated, then we have;
m₁*c*(T_f - T₂) + m₂*c*(T_f - T₁,i) = 0
c will cancel out to give;
[2.5T_f - (2.5*22.5)] + [0.5T_f - (0.5*20)] = 0
2.5T_f - 56.25 + 0.5T_f - 10 = 0
3T_f = 66.25
T_f = 66.25/3
T_f = 22.08°C = 295.23 K
Read more on final temperature at; brainly.com/question/19169125
