Question

What is mass in gram of an atom with atomic mass 200 Amu.

ANSWER: 3.32×10^(-22) gram

HOW??​

Answer 1

Answer :-

Required mass is 3.32 × 10⁻²² grams .

Explanation :-

We have :-

→ Atomic mass = 200 amu

________________________________

Here, we are given with an element whose atomic mass is 200 amu . Now, we have to calculate the mass of 1 atom of the element (in grams) .

Molar mass of the element will be 200 grams .

1 mole = 6.022 × 10²³ atoms

So, 6.022 × 10²³ atoms of the given element weighs 200 g. Now, we can calculate our answer using unitary method

________________________________

∵ Mass of 6.022 × 10²³ atoms = 200 g

∴ Mass of 1 atom :-

= 200/(6.022 × 10²³)

= 200/6.022 × 1/10²³

= 33.2 × 10⁻²³

= 3.32 × 10⁻²² g

Answer 2

Given :-

Atomic mass = 200 Amu

To Find :-

Mass in gram of an atom

Solution :-

We know that

1 mole =  6.022 × 10²³ atoms

Let the weight of 1 gram of atom be a

Weight of 6.022 × 10²³ atoms = 200 Amu

Weight of 1 atom = 200/6.022 × 10²³ atoms

a = 200/6.022 × 10²³

a = 200000/6022 × 10²³

a = 33.2/10²³

a = 33.2 × 10⁻²³

a = 3.32 × 10⁻²² gram