A patient receives 3.4 L of glucose solution intravenously (IV). If 100. mI of the solution contains 5.5 g of glucose (carbohydrate), how many
Express the eneray to two significant figures and include the appropriate units.
To find the total amount of glucose in the IV solution, we can use a conversion factor.
First, let's convert 3.4 L to milliliters (mL):
1 L = 1000 mL
So, 3.4 L = 3.4 * 1000 mL = 3400 mL
Next, we can use the given information that 100 mL of the solution contains 5.5 g of glucose to find the amount of glucose in 3400 mL of the solution:
(5.5 g glucose / 100 mL solution) * 3400 mL solution = 187 g glucose
Finally, we express the answer to two significant figures and include the appropriate units:
The patient receives approximately 187 g of glucose.
To determine the amount of energy received by the patient from the glucose solution, we need to calculate the total amount of carbohydrates in the 3.4 L of solution first.
Given:
100 mL of the solution contains 5.5 g of glucose
Step 1: Convert 3.4 L to mL
1 L = 1000 mL
3.4 L = 3.4 * 1000 mL = 3400 mL
Step 2: Calculate the amount of glucose (carbohydrate) in 3400 mL of solution
Using the given ratio, we can set up a proportion:
5.5 g / 100 mL = x g / 3400 mL
Cross-multiplying and solving for x:
100 * x = 5.5 * 3400
x = (5.5 * 3400) / 100
x = 187 g
Step 3: Calculate the energy obtained from 187 g of glucose
1 g of glucose provides 17 kilojoules (kJ) of energy
Energy = 187 g * 17 kJ/g
Using significant figures, the energy can be expressed as:
Energy = 3200 kJ (rounded to two significant figures)
Therefore, the patient receives approximately 3200 kJ of energy from the glucose solution intravenously.