Question

What is the mass of 3.0 x 10^23 atoms of neon

Answer 1

Answer: The mass of neon for the given number of atoms will be 9.8 g.

Explanation:

We are given:

Number of neon atoms = $3.0\times 10^{23}$

According to the mole concept:

$6.022\times 10^{23}$ number of atoms. are occupied in 1 mole of a substance.

So, $3.0\times 10^{23}$ will be occupied in = $\frac{1}{6.022\times 10^{23}}\times 3.0\times 10^{23}=0.49moles$

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$

Moles of Neon = 0.49 moles

Molar mass of neon = 20 g/mol

Putting values in above equation, we get:

$0.49mol=\frac{\text{Mass of neon}}{20g/mol}\\\\\text{Mass of neon}=9.8g$

Hence, the mass of neon for the given number of atoms will be 0.49g.

Answer 2

Molar mass neon = 20.1797 g/mol

20.1797 g ---------- 6.02x10²³ atoms
         ? g ------------ 3.0 x 10²³ atoms

mass = 3.0 x 10²³ *  20.1797 / 6.02 x 10²³

mass = 6.054x10²⁴ / 6.02 x 10²³

mass = 10.05 g

hope this helps!