Question

If one mole of carbon atoms weighs 12 gms. What is mass in grams of 1

atom of carbon? ​

Answer 1

$\checkmark$ Given:

If one mole of carbon atoms weighs 12 grams

$\checkmark$ To Find:

The mass (in grams) of 1 atom of carbon

$\checkmark$ Solution:

We know that,

Mass of 1 mole of carbon contains 12 g/mol

Hence,

$\sf 1 \ mole \ of \ carbon=12 \ g/mol$

We also know that,

1 mole of carbon contains 6.022 x 10²³ atoms

Hence,

$\sf 1 \ mole \ of \ carbon=6.022 \times 10^{23} \ atoms$

Therefore,

Equating both,

We get,

$\sf 12 \ g = 6.022 \times 10^{23} \ atoms$

According to the question,

We are asked to find the mass (in grams) of 1 atom of carbon

Expressing it mathematically,

$\sf 6.022 \times 10^{23} \ atoms \longrightarrow 12 \ g$

$\sf 1 \ atom \longrightarrow "x" \ atoms$

Hence,

We must find "x"

Solving them,

Using cross-multiplication,

We get,

$\sf 1 \ atom = \dfrac{12}{6.022 \times 10^{23}} \ g$

On further simplification,

We get,

$\sf 1 \ atom=1.993 \times 10^{-23} \ g$

Hence,

The mass (in grams) of 1 atom of carbon = 1.993 x 10⁻²³ g

Answer 2

$\huge\mathfrak\green{answer!}$

Given: 1 mole of carbon weighs 12g

1 mole of carbon atoms = 6.022 X 10²³

Molecular mass of carbon atoms =

12g = an atom of carbon mass

Hence, mass of 1 carbon atom = 12 / 6.022 X 10²³ = 1.99 X 10-²³g