A 70.0-kg person had a quarter-pound cheeseburger, french fries, ...

Question

A 70.0-kg person had a quarter-pound cheeseburger, french fries, and a chocolate shake. (3.5)

d. Using TABLE3.10, determine the number of hours of running needed to burn off the kilocalories in this meal.

Accepted Answer

Welcome back everyone. An adult weighing 60 kg consumes a boxed meal consisting of a steak and a baked potato. Given the table below determine the number of hours of walking needed to burn off the kilocalories from the food set. The energy values of carbohydrates fat and protein are four kg cows per gram, nine kg cows per gram And four killy cows per gram respectively. And walking expends 200 kg cows per hour. So below, we have a chart describing the nutritional values of carbohydrates fats and proteins all in grams for steak and baked potato that make up the boxed meal. So we're going to need to first calculate our total energy gained from each of these food items. Beginning with our steak, we would find its total energy as the energy from the carbs within the steak, plus the energy from fats within the steak plus the energy from protein. So first calculating our energy from carbs within the steak, We're given a total of zero g of carbs. Next, we have energy from fats Within the steak. In which from our chart, we have 27 g of fat scanned which we will multiply by our energy values for car for fat. Sorry. Given from the prompt as nine kili cows per gram, canceling out grams were left with kill cows. And we find that our energy from fats from the steak would be 243 kg. Now finding our energy and we'll use the corresponding color, our energy from protein From the steak that the person gains we would have from our chart 19 g of protein which we want to multiply by the energy value of protein given from the prompt as four kill a cows per gram. So canceling out grams and taking our product will find our total energy from protein in the steak being 76 kg. So calculating our total energy from the steak, we have our sum of zero g of carbs plus our 243 kg cows. I'm sorry, our grams of carbs should actually be zero Kilic cows since we need our units to be consistent. So zero kg cows of carbs plus our 243 kg of fats plus our 76 kg cows of protein. All gained from the steak Yields a total energy being 319 kg. Now we're going to need to calculate our total energy gained from our baked potato, which again is the sum of our energy of carbs, fats and proteins within the baked potato. So beginning with our energy of carbs from the baked potato according to our Diagram, we have 23g of carbs gained from the baked potato, which we want to multiply by the energy conversion for carbs given from our prompt as four kg cows per gram, canceling out grams and taking our product, we have total energy of carbs from the baked potato being 92 kg cals. Now calculating the energy of fats gained from eating the baked potato. From our diagram, we are given zero g of fats Which would equal zero kg houses based on our conversion. And next, we want to calculate the energy of protein gained from the baked potato. And from our chart, we would gain 3g of protein which we want to multiply by the energy conversion for protein given us four Kilic cos per gram. So canceling out grams, we're left with kill cows and from our product, we'll find total energy of protein from the baked potato being kg cos of protein total. So finding our total energy gained from our baked potato. We have our zero killer cos from fats Plus our 92 kg cows from carbs plus the 12 Kilic cows of protein Will result in our total energy gained from the baked potato being 104 kg cows total. So our next step is getting our total energy for the boxed meal Being our steak and baked potato, which would be 104 kg cows from the potato Plus the 319 kg of energy gained from the stake. And this would give us our total energy for eating both of these items in the boxed meal being 423 kg cos of energy gained. So now we need to figure out our number of walking hours to burn 423 kg cows that we would gain from the food. So in order to calculate this, we would take our 423 kg cos that we would potentially gain from eating the boxed meal. And we want to multiply it by a conversion factor to cancel out kill cows in the denominator and to get two hours in the numerator. So utilizing the given conversion factor from our prompt, we're told that walking expends 200 kg cos per hour. So we have 200 kg cows in the denominator and one hour in our numerator, canceling out kill cows were left with our, as our final unit. And From our product, we would have a result being 2.115 hours as a result of walking hours needed in order to burn the kilocalories gained from eating the boxed meal. Now, based on our calculation, our smallest number of sigfig is from our unit one hour. So we would round this to one sigfig as two hours of walking that would be needed to burn off the 423 kg cows gained from the boxed meal. So our final answer is two hours. I hope this made sense and let us know if you have any questions.

Struggling with GOB Chemistry?

Watch next

Nature of Energy practice set