A patient receives 3.5 L of glucose solution intravenously (IV). If 100. mL of the solution contains 5.9 g of glucose (carbohydrate), how many kilocalories did the patient obtain from the glucose solution?
1100 kcal (1.1*10^3 kcal) yo welcome 😎
Oh, glucose, the sweet stuff! Let's do some math with a sprinkle of humor to calculate those calories!
First, let's convert the grams of glucose to kilocalories. We know that 1 gram of carbohydrate provides 4 kilocalories. So, 5.9 grams of glucose would provide 5.9 x 4 = 23.6 kilocalories.
Now let's convert milliliters to liters. Since there are 1000 mL in a liter, 3.5 L of glucose solution converts to 3.5 x 1000 = 3500 mL.
To find out how many kilocalories the patient obtained, we need to figure out how many times the 100 mL portion of the solution goes into 3500 mL. So, 3500 mL divided by 100 mL equals 35.
Finally, we'll take the kilocalories from the glucose solution (23.6 kcal) and multiply it by the number of times the 100 mL portion is in the 3500 mL (35).
23.6 kcal x 35 = Zesty Zumba, the patient obtained 826 kilocalories from the glucose solution!
Remember, laughter burns calories too, so keep that smile on while doing the math!
To determine the number of kilocalories obtained from the glucose solution, we can follow these steps:
Step 1: Calculate the total amount of glucose in the IV solution:
First, we need to convert the volume of the IV solution from liters (L) to milliliters (mL).
3.5 L = 3500 mL
Next, we can use the given information about the glucose concentration to calculate the total amount of glucose in the IV solution.
The concentration of glucose in the IV solution is given as 5.9 g of glucose per 100 mL of solution.
So, to find the total amount of glucose in 3500 mL of solution, we can use the proportion:
(5.9 g / 100 mL) = (x g / 3500 mL)
Cross multiplying, we have:
x = (5.9 g / 100 mL) * 3500 mL
x = 205 g
Therefore, the total amount of glucose in the IV solution is 205 grams.
Step 2: Calculate the number of kilocalories in the glucose:
Every gram of glucose provides 4 kilocalories (kcal).
So, to calculate the number of kilocalories from the glucose in the IV solution, we multiply the total amount of glucose (205 g) by the kilocalorie value per gram (4 kcal/g).
205 g * 4 kcal/g = 820 kcal
Therefore, the patient obtained 820 kilocalories from the glucose solution.
To find the number of kilocalories obtained from the glucose solution, we need to follow these steps:
Step 1: Calculate the total amount of glucose in the IV solution.
We know that 100 mL of the solution contains 5.9 g of glucose. Therefore, we can use a proportion to calculate the amount of glucose in 3.5 L (or 3500 mL) of the solution:
(5.9 g / 100 mL) = (x g / 3500 mL)
Cross-multiplying, we get:
100 * x = 5.9 * 3500
Dividing both sides by 100, we find that x (the amount of glucose in 3500 mL) is approximately 206.47 g.
Step 2: Convert the amount of glucose obtained to kilocalories.
To convert grams of glucose to kilocalories, we need to know the conversion factor. The conversion factor for glucose is 4 calories per gram.
Since 1 kilocalorie (kcal) equals 1000 calories, we can convert the amount of glucose from grams to kilocalories as follows:
206.47 g x (4 calories / 1 g) x (1 kcal / 1000 calories)
Multiplying these values, we find that the patient obtained approximately 0.83 kilocalories from the glucose solution.
1 g carbohydrate = 4 kcal
5.9 g x (3500/100) = ?g glucose.
4 kcal/g x ?g glucose = ?