The concentration of sugar (glucose, c6h12o6) in human blood ranges from about 80.0 mg/100. ml before meals to 120. mg/100. ml after eating. find the molarity of glucose in blood before and after eating.

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Answers:

0.0044 mol·L⁻¹; 0.006 66 mol·L⁻¹

Step-by-step explanation:

(1) Before eating

    80. mg/100. mL                 Convert milligrams to grams

=   80. mg/100. mL × 1 g/1000 mg  

= 0.080 g/100. mL                 Convert grams to moles

= 0.080 g/100. mL × 1 mol/180.16 g

= 4.44 × 10⁻⁴ mol/100. mL     Convert millilitres to litres

= 4.44 × 10⁻⁴ mol/100. mL × 1000 mL/1 L

= 0.0044 mol·L⁻¹

(2) After eating

     120. mg/100. mL                  Convert milligrams to grams

=   120. mg/100. mL × 1 g/1000 mg  

= 0.120 g/100. mL                   Convert grams to moles

= 0.120 g/100. mL × 1 mol/180.16 g

= 6.661 × 10⁻⁴ mol/100. mL     Convert millilitres to litres

= 6.661 × 10⁻⁴ mol/100. mL × 1000 mL/1 L

= 0.006 66 mol·L⁻¹

The molarity of glucose in the blood before and after meal is 0.044 mol/L and 0.066 mol/L respectively.

Molarity:

It is the measure of the concentration in grams of solute in 1 letter of solvent.

[tex]\bold { M = \dfrac {w}{m\times v}\times {1000}}[/tex]

Where,

M - molarity

w - given mass of solute

m - molar mass of solute,

v - volume

Put before meal values,

[tex]\bold{ M = \dfrac {0.8\g}{180.16\ g/mol \times 100\ ml}\times 1000}\\\\\bold{ M = 0. 44\ mol/L}[/tex]

put the After meal values, we get

M = 0.066 mol/L

Therefore, the molarity of glucose in the blood before and after meal is 0.044 mol/L and 0.066 mol/L respectively.

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