PRACTICAL CALOR IMETRY 1. A diet drink has an energy content of only six Gal. Ho

Question

PRACTICAL CALOR IMETRY 1. A diet drink has an energy content of only six Gal. How many grams of room temperature (22 C) water could be heated to just under boiling (99 C) with this quantity of thermal energy? 2. In addition to raising the temperature of a fluid, thermal energy can e converted into mechanical energy to do useful work. Recall thata joule is roughly the quantity of energy needed to lift a large egg (100 g) one meter(i.e., 1 J/m to lift the egg). Calculate how high a large egg could be elevated a bove the Ear if all of the 6 Cal in Problem 1 CHdsonasyoummerendsidiglas could be converted u.;s:ful :-ork. se that you consumed six glasses (250 g each) of ice water 0°C) on a hot summer day. If your body temperature is 37 °C, how many calories of thermal energy did your body supply to heat this water o body temperature? How many Calories is this? How many joules? ow many glasses of ice water would you have to drink to "burn off" Cal of energy you would gain by eating a serving of french he 220 fries? Is drinking ice water an efficient way to diet? tcal 47 0

Explanation / Answer

Q1

diet drink = 6 Cal

find mass of water at T = 22°C which will be required up to T = 99 °C

Q = m*C*(Tf-T)

note that, by definition 1 Cal = 1 kg by 1°C

6 = (mass of water)(1)(99-22)

mass of water = 6 / (99-22) = 0.077 kg of water = 77.92 grams of water will be increased to this T

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