Question

The average neon (Ne) atom has a mass of 20.18 atomic mass units/atom (atomic mass unit = amu). There are 1.661 ́10–24 g/amu. If the typical Ne light holds 1.00 ́1015 Ne atoms, what mass of neon, in kg, is in the Ne light?

Answer 1

To determine the mass of neon in the given Ne light, we need to multiply the mass of one neon atom by the number of neon atoms in the light.

Given: Mass of one neon atom = 20.18 amu Conversion factor: 1.661 × 10^−24 g/amu Number of neon atoms in the light = 1.00 × 10^15 Ne atoms

First, we'll convert the mass of one neon atom from amu to grams: Mass of one neon atom in grams = 20.18 amu × 1.661 × 10^−24 g/amu

Now, we can calculate the mass of the entire Ne light: Mass of Ne light in grams = Mass of one neon atom in grams × Number of neon atoms in the light

Finally, we'll convert the mass from grams to kilograms: Mass of Ne light in kilograms = Mass of Ne light in grams / 1000

Let's calculate it:

Mass of one neon atom in grams: 20.18 amu × 1.661 × 10^−24 g/amu = 3.348358 × 10^−23 g

Mass of Ne light in grams: 3.348358 × 10^−23 g × 1.00 × 10^15 Ne atoms = 3.348358 × 10^−8 g

Mass of Ne light in kilograms: 3.348358 × 10^−8 g / 1000 = 3.348358 × 10^−11 kg

Therefore, the mass of neon in the given Ne light is approximately 3.348358 × 10^−11 kg.