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Z 1 - ciecz cieplejsza
Z 2 - ciecz chłodniejsza
V₁=4l=4dm³=4·(0,1m)³=4·0,001m³=0,004m³
d₁=791kg/m³
m₁=d₁·V₁=791kg/m³·0,004m³=3,164kg
V₂=8l=8dm³=8·(0,1m)³=8·0,001m³=0,008m³
d₂=1000kg/m³
m₂=d₂·V₂=1000kg/m³·0,008m³=8kg
c₁=2100J/kg·⁰C
T₁=45⁰C
c₂=4200J/kg·⁰C
T₂=20⁰C
Tk=?
Q₁=Q₂ <--- zasada zachowania energii
Q₁=m₁·c₁·(T₁-Tk)
Q₂=m₂·c₂·(Tk-T₂)
m₁·c₁·(T₁-Tk)=m₂·c₂·(Tk-T₂)
m₁·c₁·T₁-m₁·c₁·Tk=m₂·c₂·Tk-m₂·c₂·T₂
m₁·c₁·T₁+m₂·c₂·T₂=m₂·c₂·Tk+m1·c1·Tk
m₁·c₁·T₁+m₂·c₂·T₂=Tk·(m₂·c₂+m₁·c₁)
Tk=[m₁·c₁·T₁+m₂·c₂·T₂]/(m₂·c₂+m₁·c₁)
Tk=[3,164kg·2100J/kg·⁰C·45⁰C+8kg·4200J/kg·⁰C·20⁰C]/(8kg·4200J/kg·⁰C+3,164kg·2100J/kg·⁰C)
Tk=24,13⁰C