Respuesta :
The final temperature of the mixed water is 44.66 ⁰C.
The given parameters;
mass of the cold water, m = 100 g
initial temperature of the water, t₁ = 24.9 ⁰C
initial temperature of the hot water, t₂ = 71.0⁰ C
mass of the hot water = 75 g
specific heat capacity of water is 4.184 J/g⁰C
The final temperature of the mixture is calculated as follows;
Based on the principle of conservation of energy;
Heat lost by hot water = heat gained by the cold water
mcΔθ₂ = mcΔθ₁
75 x 4.184 x (71.0 - T) = 100 x 4.184 x (T - 24.9)
75 x (71.0 - T) = 100 x (T - 24.9)
(71.0 - T) = 1.333(T - 24.9)
71.0 - T = 1.333T - 33.1917
71.0 + 33.1917 = 1.333T + T
104.1917 = 2.333T
Thus, the final temperature of the mixed water is 44.66 ⁰C.
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