Posted by Rachel | Posted in Coffee and Accessories | Posted on 04-02-2010
Tags: coffee, coffee 40 cup, coffee 40 cup pot, coffee 400, coffee 40509, coffee 409, design, inspiration, keurig+brewers, marketing
You have a 12 oz cup of coffee at 180 degrees F. You add 2 ounces of cold water at 40 degrees F. What is the?
You have a 12 oz cup of coffee at 180 degrees F. You add 2 ounces of cold water at 40 degrees F. What is the temperature of the coffee?
metric
12 oz = 0.34kg
2 oz = 0.057 kg
180F = 82
40F = 4.4
specific heat of water is 4186 J/kgC
energy to cool the coffee from 180 to T
E = 4186 x 0.34 x (82-T)
energy to heat the water from 4.4 to T
E = 4186 x 0.057 x (T-4.4)
set them equal to each other and solve
0.34 x (82-T) = 0.057 x (T-4.4)
27.9 – 0.34T = 0.057T – 0.25
0.397T = 28.15
T = 70C or 159F
or you could do it by proportions.
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40 cups of coffee Ella Mae Morse 1953
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