Question

how many moles of CO2 will contain the same quantity of oxygen atoms as that of H-atom in 5 moles of H2O.
please solve it step by step ​

Answer 1

Answer :-

Required number of moles of CO₂ are 5 .

Explanation :-

We know that, in 1 mole of H₂O, there are 2 moles of Hydrogen (H).

So in 5 moles of H₂O, there are (2 × 5) = 10 moles of 'H'.

Number of 'H' atoms in 10 moles of it :-

= Number of moles × Avogadro Number

= 10 × 6.022 × 10²³

= 60.22 × 10²³

= 6.022 × 10²⁴ atoms

Hence, 5 moles of H₂O has 6.022 × 10²⁴ H-atoms.

________________________________

Now, we have to calculate that how many moles of CO₂ will contain 6.022 × 10²⁴ Oxygen (O) atoms.

1 mole of CO₂ has 'O' atoms :-

= No of moles × Avogadro Number

= (2 × 6.022 × 10²³)

= 12.044 × 10²³

Thus, required number of moles of CO₂ :-

= 6.022 × 10²⁴/12.044 × 10²³

= 5 moles

Answer 2

Required Answer :-

We know that

Number of 5 moles of hydrogen in H₂O = Number of moles in the element × Avogadro Number

= (10 × 6.022) × 10²³

= 10 × 6.022 × 10²³

For oxygen

= (2 × 6.022) × 10²³

= 2 × 6.022 × ²³

We know that

Moles required = 10 × 6.022 × 10²³/2 × 6.022 × 10²³

Moles required = 10 × 10²³/2 × 10²³

Moles required = 10/2

Moles required = 5