A doctor has ordered that a patient be given 11 of glucose, which is available in a concentration of 60.00 glucose/1000.0 of solution.
What volume of solution should be given to the patient?
To determine the volume of solution that should be given to the patient, we need to use the formula:
Volume of solution = Amount of glucose / Concentration of glucose
In this case, the doctor has ordered 11 grams of glucose to be given to the patient, and the concentration of glucose in the solution is 60.00 grams of glucose per 1000.0 ml of solution.
Therefore, we can calculate the volume of solution using the formula:
Volume of solution = 11 grams / (60.00 grams/1000.0 ml)
First, let's convert the concentration from grams per ml to grams per liter by multiplying by 1000:
Volume of solution = 11 grams / (60.00 grams/1.0 liter)
Next, let's simplify the expression by dividing:
Volume of solution = 11 / 60.00 liter
Finally, we can calculate the volume:
Volume of solution = 0.183333 liter
So, the volume of the solution that should be given to the patient is approximately 0.183 liter, or 183 ml.
To determine the volume of solution that should be given to the patient, we can set up a proportion using the concentration of glucose in the solution.
Let "x" represent the volume of solution to be given to the patient.
According to the information given, the concentration of glucose is 60.00 g/1000.0 mL of solution.
The ordered amount of glucose is 11 g.
Setting up the proportion:
(60.00 g / 1000.0 mL) = (11 g / x mL)
Cross multiplying:
60.00 g * x mL = 11 g * 1000.0 mL
Simplifying:
60.00x = 11,000 g.mL
Dividing both sides by 60.00:
x = 11,000 g.mL / 60.00
x ≈ 183.33 mL
Therefore, approximately 183.33 mL of the solution should be given to the patient.