For dinner, Charles had one cup of clam chowder, which contains 16 g of carbohydrate, 12 g of fat, and 9 g of protein. How much energy, in kilocalories and kilojoules, is in the clam chowder? (Round off the answer for each food type to the tens place.)

Question

Accepted Answer

Welcome back everyone. Two cups of a pumpkin soup recipe contain 27 g 11 g and 9.5 g of carbohydrates fats and protein respectively. Calculate the energy and kilocalories and kilojoules in the soup. Given energy values for carbohydrates being 4.0 kg cows per gram equivalent to 17.0 kloos per gram and fats with an energy value of nine point oh kloos per gram equivalent to 38 point oh kilojoules per gram. And then for proteins, we have an energy value of 4.0 kg per gram equal to 17.0 kilojoules per gram. We need to round off our final answer to the tens place. We're going to begin to recall that to get the total energy gained from our pumpkin soup. We want to take our sum of our total energy gained from our different types of nutrients being our carbs fats and proteins within our pumpkin soup, meaning that we're going to need the energy of each of our nutrients. So for the energy of a nutrient, we would recall that we take the mass of our nutrient and multiply by the energy equivalent of our nutrient which would represent our energy value gained from that nutrient. So we're going to need to begin by calculating our energy of our nutrients in both kilojoules, sorry kilocalories. So we have units of kill cows and we need to find in kilojoules our energies of each of our nutrients in our pumpkin soup. So let's begin by finding our total energy of our pumpkin soup in kick house. So beginning with our total energies of protein in our pumpkin soup, we would take our massive protein given in our pump as 9.5 g of protein which we then will multiply by the energy values for proteins, which is given as four point oh kilo cows per gram. So notice we can cancel our unit of grams leaving us with kill cows and we would find that our total energy of protein within our pumpkin soup is equal to 38.0 killy cows. Now we're going to find our total energy gained in carbs and we'll use. Now we'll keep the color blue. So our total energy gained in carbs for our pumpkin soup. Given our mass of carbohydrates from our pump as 27 g multiplied by our energy value for carbohydrates given to us as four points 4.0 killy cows per gram. So just like protein, we will cancel out grams leaving us with killy cows and we'll find our energy of carbs being 108 kg cows of carbs And next, we want our energy of fats within our pumpkin soup equal to our mass of fats in our pumpkin soup. Given in our prompt as 11 g multiplied by the energy equivalent of fats in killy cows per gram as 9.0 killy cows per gram. Canceling out grams. We're left with killy cows and we find our killy cows of fats being 99 killy cows of fats. So now plucking in to get our total energy gained from our pumpkin soup. We would take our 38.0 kg cos of proteins. I'm sorry. This is a K added to our 108 kg cows of carbs within our pumpkin soup and added to our 99 kly cows of fats gained from eating the pumpkin soup. So taking the sum, we would find our total energy from our pumpkin soup and Kily cows equal to 245 kly cows. However, we need to round to the 10th place and because we have a five in our ones place, we can round our 10th place to a value of kly cows. This would be our first answer. So far as our energy and kill cows gained from eating the pumpkin soup. Now we're going to need to do the same thing. But for our total energy and kill a jewels for eating the pumpkin soup beginning with our energy of protein in our pumpkin soup we begin with our mass of proteins being 9.5 g times its energy equivalent in jewels given in our pump as 17.0 kilojoules per gram. So canceling out grams, we get our energy of protein and kilojoules as 161.5 kilojoules. Now moving on to our energy of carbs gained from eating our pumpkin soup. We have our massive carbs which above was given as 27 g from our prompt multiplied by the energy equivalent of a carb given to us as 17 point oh kilojoules per gram. So canceling out grams were left with kilojoules and we would find our energy of carbs gained from eating the pumpkin soup equal to 459 kilojoules of energy. And next, we have our energy of fats gained from eating our pumpkin soup in which we take our mass of fats in our pumpkin soup given as 11 g multiplied by the energy equivalent for fat being 38. kilojoules per gram. So canceling out grams, we're left with kilojoules and we find our energy of fats in our pumpkin soup equal to 418 kilojoules. So now calculating our total energy and kill jewels gained from eating our pumpkin soup. We're going to take our sum of our energy values of our nutrients. So we have 161.5 kilojoules of proteins in our soup plus our 459 kilojoules of carbs within our soup plus our 418 kilojoules of fats within our soup and taking the sum here, we would find our total energy value in kilojoules being 1038.5 kilojoules in which we need to round to the 10th place as kilojoules. So our final answers are highlighted in yellow. We have 250 kg and 1040 kilojoules of heat of sorry energy gained from eating our pumpkin soup. So I hope that this made sense and let us know if you have any questions.

For dinner, Charles had one cup of clam chowder, which contains 16 g of carbohydrate, 12 g of fat, and 9 g of protein. How much energy, in kilocalories and kilojoules, is in the clam chowder? (Round off the answer for each food type to the tens place.)

Verified video answer for a similar problem:

Key Concepts

Macronutrient Energy Values

Energy Conversion

Rounding Numbers