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(1) The densities and specific heat of coffee and milk are not so very different

ID: 2097566 • Letter: #

Question

(1) The densities and specific heat of coffee and milk are not so very different from those of water.


Denisty of coffee = density of milk = density of water = 1.000 g/cm^3


Heat Capacity of coffee = Heat Capacity of milk = Heat Capacity Water = 4.186 J/g * c


Suppose that one's favorite mug is known to hold 300 + or - 5 mL of fluid. Furtehr suppose that 250 + or - mL of freshly-brewed, piping hot, 85 + or - 1 C, coffee is poured into the mug and topped-up with 50 + or - 25 mL of milk, from the fridge at 5 + or - 1 C. Predict the expected range of temperatures for the beverage just after the milk is added.

Explanation / Answer

maximum temp=(275*86+25*6)/300=79.33 C

minimum temp=(225*84+75*4)/300=64 C