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Secondary IV • 1yr.

Emilie suffers from diabetes. Therefore, after having lunch, traces of glucose (C6H12O6) can be found in her blood. What is the total mass of sugar that can be found in her blood before it reaches a concentration of 10 mmol / L? (hint: volume of blood = 5L)

Chemistry
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 1yr.

    Hello,

    To answer your question, you need to be comfortable with the concepts of concentration and molar mass.

    In this problem, the concentration is given to you, and you have to calculate the mass. The first step is to convert units. The conversion is such that 

    1mmol = 0.001mol

    . So, 

    10mmol = 0.010mol

    .

    Next, calculate the molar mass of glucose using a reference or the periodic table (MGlucose = 180.16g / mol).

    Now it remains only to calculate the mass. You have to use the formula for concentration and molar mass. It is stated that the total volume of blood in Emily's body would be 5L:


    M = mn⇒m = n × M

    C = nV⇒n = C × V

    m = n × M = C × V × M

    M =  molar mass, 

    m =  mass, 

    N =  amount of moles, 

    C= concentration 

    and 

    V=  volume.

    m = 0.010mol / L × 5L × 180.16g / mol = 9g

    This result means that if Emilie's blood sugar level exceeds 9g, she will be in hyperglycemia. Hope that answers your question and if you have any more, don't hesitate!