QuestionHow many nitrogen atoms are in one mole of serotonin, $\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{~N}_{2} \mathrm{O}$ ? A. $1.2 \times 10^{24}$ B. $6.02 \times 10^{23}$ C. $7.2 \times 10^{24}$ D. $6.02 \times 10^{24}$

Studdy Solution

STEP 1

Assumptions1. The molecular formula of serotonin is $\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{~}_{} \mathrm{}$ , which indicates that there are nitrogen atoms in each molecule of serotonin. . One mole of any substance contains $6.02 \times10^{23}$ entities (atoms, molecules, etc.). This is known as Avogadro's number.

STEP 2

First, we need to find the number of nitrogen atoms in one molecule of serotonin. This is given by the subscript next to the nitrogen symbol () in the molecular formula.
$Number\, of\, Nitrogen\, atoms\, in\, one\, molecule\, of\, serotonin =2$

STEP 3

Next, we need to find the number of nitrogen atoms in one mole of serotonin. We do this by multiplying the number of nitrogen atoms in one molecule of serotonin by Avogadro's number.
$Number\, of\, Nitrogen\, atoms\, in\, one\, mole\, of\, serotonin = Number\, of\, Nitrogen\, atoms\, in\, one\, molecule\, of\, serotonin \times Avogadro's\, number$

STEP 4

Now, plug in the values for the number of nitrogen atoms in one molecule of serotonin and Avogadro's number to calculate the number of nitrogen atoms in one mole of serotonin.
$Number\, of\, Nitrogen\, atoms\, in\, one\, mole\, of\, serotonin =2 \times6.02 \times10^{23}$

STEP 5

Calculate the number of nitrogen atoms in one mole of serotonin.
$Number\, of\, Nitrogen\, atoms\, in\, one\, mole\, of\, serotonin =2 \times.02 \times10^{23} =1.2 \times10^{24}$ So, there are $1.2 \times10^{24}$ nitrogen atoms in one mole of serotonin.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms