One day you\'re reading a popular diet blog, in which the author claims that if

Question

One day you're reading a popular diet blog, in which the author claims that if all you do is simply drink a sufficient amount of ice water every day. you could lose as much as half a pound each week. The claim is that your body must warm the ice water from 0 Degree C to the body temperature of 37 Degree C and that takes energy at the expense of body fat. Thankfully, you just finished discussing heat in your physics class, so you can calculate how much energy is expended in drinking ice water and how much fat will be lost. How much energy, in kilocalories. is required to warm 1.5 liters of ice water from 0 Degree C to 32 Degree C? Assuming it takes 3600 kcal to "burn" one pound of fat. how many pounds could you lose per week just by drinking 1.5 L to ice water every day?

Explanation / Answer

Given

   mass of water m = 1.5 kg, temperature difference is DT = (32-0)= 32

heat energy required to warm 1.5 kg water from 0 0C to 32 0C is

  

   Q = m*c*DT
  

   = 1.5*1000*32 cal

   = 48 k Cal

part b)

the no of pounds ,would loose by dringiking 1.5 lt of ice water every day is

  

   48 /3600 = 0.01333333 pounds

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