The final temperature of the mixed water is 45.6 ⁰C.
The calorimeter's final temperature is 59.0 °C. We can use our calorimeter to measure the quantity of heat a reaction releases now that we are aware of its heat capacity.
The given parameters;
mass of the cold water, m = 100 g
initial temperature of the water, t₁ = 23 ⁰C
initial temperature of the hot water, t₂ = 75.7⁰ 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 (75.7 - T) = 100 x 4.184 x (T - 23)
75 x (75.7 - T) = 100 x (T - 23)
(75.7 - T) = 1.333(T - 23)
75.7 - T = 1.333T - 30.659
75.7 + 30.659 = 1.333T + T
106.359 = 2.333T
T = 106.359/2.333
T= 45.6° C
Therefore The final temperature of the mixed water is 45.6 ⁰C.
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