Normal glucose levels in the blood are from 70 to 110 mg glucose per 100mL of blood. If the level falls to low, there can be brain damage. If a person has a glucose level of 92 mg/ 100mL, what is the total mass of glucose in grams in 5.10 L of blood?
(92 mg glucose/100 mL) x 5,100 mL = ? mg/5.1 L. Convert mg to g.
To find the total mass of glucose in grams in 5.10 L of blood, we first need to convert the given glucose level from mg/100mL to mg/L.
Given: Glucose level = 92 mg/100mL
To convert this to mg/L, we can use the following ratio:
1 L = 1000 mL
So, 100 mL is equal to 1/10 of 1 L, and thus our conversion factor is 1/10.
To convert to mg/L, we can multiply the given glucose level by the conversion factor:
92 mg/100mL * 1 L/10mL = 9.2 mg/L
Now that we have the glucose level in mg/L, we can calculate the total mass of glucose in grams in 5.10 L of blood.
Given: Blood volume = 5.10 L
Glucose level = 9.2 mg/L
To find the total mass of glucose in grams, we use the formula:
Mass = Volume * Concentration
Mass = 5.10 L * 9.2 mg/L
To cancel out the units and convert from mg to grams, we divide by 1000:
Mass = (5.10 L * 9.2 mg/L) / 1000 = 0.04692 grams
Therefore, the total mass of glucose in grams in 5.10 L of blood is approximately 0.04692 grams.