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A parenteral solution includes 65grams protein, 200grams dextrose and a 20% fat fat emulsion at 7ml per hour. how many total calories will this provide in a 24 hour period?

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Final answer:

The total calories provided by the parenteral solution, consisting of 65 grams of protein, 200 grams of dextrose, and a 20% fat emulsion at 7 ml per hour over 24 hours, is 1362.4 calories.

Step-by-step explanation:

To calculate the total calories provided by the parenteral solution consisting of 65 grams of protein, 200 grams of dextrose (glucose), and a 20% fat emulsion at 7 ml per hour over a 24-hour period, we'll use the standard caloric values for each macronutrient:

  • Protein: 4 calories per gram
  • Carbohydrates (dextrose): 4 calories per gram
  • Fat: 9 calories per gram

First, we'll convert the 20% fat emulsion rate from ml per hour to grams, as 1 ml of the emulsion contains 0.2 grams of fat. Then, we multiply the amount of each nutrient by its respective caloric value:

  • Proteins: 65g × 4 cal/g = 260 calories
  • Dextrose: 200g × 4 cal/g = 800 calories
  • Fat: (7 ml/hr × 24 hrs × 0.2 g/ml) × 9 cal/g

The total grams of fat infused over 24 hours is 7 ml/hr × 24 hrs × 0.2 g/ml = 33.6 grams of fat.

The calories from fat are thus 33.6g × 9 cal/g = 302.4 calories.

Finally, we add the calories from protein, dextrose, and fat to obtain the total calories:

260 + 800 + 302.4 = 1362.4 total calories

This parenteral solution provides a total of 1362.4 calories over a 24-hour period.

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