Question

Kate's blood volume is $3.9L$. Before treatment, if her blood glucose was $178\mathrm{mg}/\mathrm{dL}$, how many grams of glucose were in her blood?

Short answer

The concentration of glucose in the blood is$6.942grams$.

Step-by-step solution

Given data

• Kate's blood volume is $3.9L$.
• Blood glucose level was $178\mathrm{mg}/\mathrm{dL}$.

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:

$(3.9L)x(178x{10}^{-3}g/dL)x(10dL/L)=6.942grams$