The concentration of the appetite-regulating hormone $1.3 \times 10^{- 10}$ $1.3 times 10^-10$ $M$ $M$ in a fasting person. How many molecules of ghrelin are in 1 L of blood?

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The concentration of the appetite-regulating hormone $1.3 \times 10^{- 10}$ $1.3 times 10^-10$ $M$ $M$ in a fasting person. How many molecules of ghrelin are in 1 L of blood?

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Answer 1 · 2017-09-04T17:13:39

Approximately $7.8 \cdot 10^{13}$ $7.8*10^13$ ghrelin molecules are present in a fasting person's blood.

Explanation:

$M$ $M$ is molarity, units of molarity are $\frac{m o l_{s o l u t e}}{L_{s o l n}}$ $(mol_(solute))/(L_(sol n))$ .

Thus there are $1.3 \cdot 10^{- 10} m o l$ $1.3*10^-10mol$ per liter of blood.

Furthermore, using Avogadro's number, we'll arrive at the solution:

$1.3 \cdot 10^{- 10} m o l \cdot \frac{6.023 \cdot 10^{23} molecules}{m o l} \approx 7.8 \cdot 10^{13} molecules$ $1.3*10^-10mol* (6.023*10^23 " molecules")/(mol) approx 7.8*10^13" molecules"$

Ghrelin is a protein that functions as a hormone:

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The concentration of the appetite-regulating hormone $1.3 \times 10^{- 10}$ $1.3 times 10^-10$ $M$ $M$ in a fasting person. How many molecules of ghrelin are in 1 L of blood?

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Explanation:

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The concentration of the appetite-regulating hormone $1.3 \times 10^{- 10}$ $1.3 times 10^-10$ $M$ $M$ in a fasting person. How many molecules of ghrelin are in 1 L of blood?