Question

Kate's blood volume is $3.9\mathrm{L}$. After three months of diet and exercise, if her blood glucose is $146\mathrm{mg}/\mathrm{dL}$, how many grams of glucose are in her blood?

Short answer

The concentration of glucose in the blood is$5.694grams$

Step-by-step solution

Given data

Kate's blood volume is $3.9\mathrm{L}$

Blood glucose level was $146\mathrm{mg}/\mathrm{dL}$

Unit conversion

Step 2: Unit conversion

We must convert units before calculating blood glucose levels:

• milligrams to grams
• $1$milligram $=0.001$grams (or) ${10}^{-3}$grams
• deciliter ($dL$)to litre ($L$).
• $1$liter ($L$) = $10$deciliter ($dL$)

Solution

The concentration of glucose in the blood is:

$(3.9L)x(146x{10}^{-3}g/dL)x(10dL/L)=5.694grams$