Chapter 17, Problem 13SP

To determine

The mass of a neon atom if the atomic mass of neon is $20.2\text{ kg/kmol}$.

Answer to Problem 13SP

Solution:

$3.36\times {10}^{-26}\text{ kg}$

Explanation of Solution

Given data:

The atomic mass of neon is $20.2\text{ kg/kmol}$.

Formula used:

Write the expression for the mass of a molecule as

$m_0=\frac{M}{N_A}$

Here, $M$ is the atomic mass of the substance and $N_A$ is the Avogadro’s number.

Explanation:

Recall the expression for the mass of a molecule:

$m_0=\frac{M}{N_A}$

Substitute $20.2\text{ kg/kmol}$ for $M$ and $6.02\times {10}^{26}\text{ kmol}$ for $N_A$

$\begin{array}{c}{m}_0=\frac{20.2\text{ kg/kmol}}{6.02\times {10}^{26}\text{ particles/kmol}}\\ =3.355\times {10}^{-26}\text{ kg}\\ \simeq 3.36\times {10}^{-26}\text{ kg}\end{array}$

Conclusion:

The mass of the neon atom of $20.2\text{ kg/kmol}$ atomic massis $3.36\times {10}^{-26}\text{ kg}$.