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A sample of the male sex hormone testosterone, C19H28O2,

Chapter , Problem 3.42

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QUESTION:

A sample of the male sex hormone testosterone, \(\mathrm{C}_{19} \mathrm{H}_{28} \mathrm{O}_{2}\), contains \(3.88 \times 10^{21}\) hydrogen atoms.

(a) How many atoms of carbon does it contain?

(b) How many molecules of testosterone does it contain?

(c) How many moles of testosterone does it contain?

(d) What is the mass of this sample in grams?

Questions & Answers

QUESTION:

A sample of the male sex hormone testosterone, \(\mathrm{C}_{19} \mathrm{H}_{28} \mathrm{O}_{2}\), contains \(3.88 \times 10^{21}\) hydrogen atoms.

(a) How many atoms of carbon does it contain?

(b) How many molecules of testosterone does it contain?

(c) How many moles of testosterone does it contain?

(d) What is the mass of this sample in grams?

ANSWER:

Problem 3.42

A sample of the male sex hormone $$ \mathrm{C_{19}H_{28}O_{2}} $$ testosterone, contains $$ \mathrm{3.88\times 10^{21}} $$  hydrogen atoms. (a) How many atoms of carbon does it contain? (b) How many molecules of testosterone does it contain? (c) How many moles of testosterone does it contain? (d) What is the mass of this sample in grams?

                                                             Step by Step Solution

Step 1 of 4

(a)

From the given,

Chemical formula of testosterone - $$ \mathrm{C_{19}H_{28}O_{2}} $$

Number of hydrogen atoms in testosterone =$$ \mathrm{3.88\times 10^{21}} $$ 

Number of carbon atoms in testosterone = 19

Number of hydrogen atoms in testosterone = 28

Number of oxygen atoms in testosterone = 2

Let’s calculate the number of carbon atoms present in testosterone which $$ \mathrm{3.88\times 10^{21}} $$contains  hydrogen atoms.

                          $$
\left(3.88 \times 10^{21} \mathrm{H} \text { atoms }\right)\left(\frac{19 \mathrm{C} \text { atoms }}{28 \mathrm {H} \text { atoms }}\right)=2.63 \times 10^{21} \mathrm{C} \text { atoms }
$$

Therefore, testosterone contains $$ 2.63\times 10^{21} $$ carbon atoms.

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