Question

Determine the number of moles of oxygen atoms in each of the following: 4.49 mol H2O2, 2.17 mol N2O , 2.33×10−2 mol H2CO3, 24.3 mol CO2

Answer 1

Answer :

(1) The 4.49 mol $H_2O_2$ contains 8.98 moles of oxygen atoms.

(2) The 2.17 mol $N_2O$ contains 2.17 moles of oxygen atoms.

(3) The $2.33\times 10^{-2}$ mol $H_2CO_3$ contains 0.0699 moles of oxygen atoms.

(4) The 24.3 mol $CO_2$ contains 48.6 moles of oxygen atoms.

Explanation :

To determine the number of moles of oxygen atoms in each of the following compound:

(1) 4.49 mol $H_2O_2$

In this compound, there are 2 atoms of hydrogen and 2 atoms of oxygen.

As, 1 mole of $H_2O_2$ contains 2 moles of oxygen atoms

So, 4.49 moles of $H_2O_2$ contains $\frac{4.49}{1}\times 2=8.98$ moles of oxygen atoms

Thus, the 4.49 mol $H_2O_2$ contains 8.98 moles of oxygen atoms.

(2) 2.17 mol $N_2O$

In this compound, there are 2 atoms of nitrogen and 1 atom of oxygen.

As, 1 mole of $N_2O$ contains 1 mole of oxygen atoms

So, 2.17 moles of $N_2O$ contains 2.17 moles of oxygen atoms

Thus, the 2.17 mol $N_2O$ contains 2.17 moles of oxygen atoms.

(3) $2.33\times 10^{-2}$ mol $H_2CO_3$

In this compound, there are 2 atoms of hydrogen, 1 atom of carbon and 3 atoms of oxygen.

As, 1 mole of $H_2CO_3$ contains 3 moles of oxygen atoms

So, $2.33\times 10^{-2}$ moles of $H_2CO_3$ contains $\frac{2.33\times 10^{-2}}{1}\times 3=0.0699$ moles of oxygen atoms

Thus, the $2.33\times 10^{-2}$ mol $H_2CO_3$ contains 0.0699 moles of oxygen atoms.

(4) 24.3 mol $CO_2$

In this compound, there are 1 atom of carbon and 2 atom of oxygen.

As, 1 mole of $CO_2$ contains 2 mole of oxygen atoms

So, 24.3 moles of $CO_2$ contains $\frac{24.3}{1}\times 2=48.6$ moles of oxygen atoms

Thus, the 24.3 mol $CO_2$ contains 48.6 moles of oxygen atoms.

Answer 2

The answers are:

1. The 4.49 mol H₂O₂ contains 8.98 moles of oxygen atoms.
2. The 2.17 mol N₂O contains 2.17 moles of oxygen atoms.
3. The 2.33×10⁻² moles H₂CO₃ contains 0.0699 moles of oxygen atoms.
4. The 24.3 mol CO₂ contains 48.6 moles of oxygen atoms.

The subscripts next to each atom allow you to find the number of moles of each element in the compound. Then, you can observe that:

• In every mole of H₂O₂ there are 2 moles of H and 2 moles of O.
• In every mole of N₂O there are 2 moles of N and 1 moles of O.
• In every mole of H₂CO₃ there are 2 moles of H, 1 mole of C and 3 moles of O.
• In every mole of CO₂ there are 1 moles of C and 2 moles of O.

Taking this into account:

• Number of moles of oxygen atoms in H₂O₂

The number of moles of oxygen atoms present in a 4.49 moles sample of H₂O₂ can be determined by:

$4.49 moles of H_{2}O_{2} x\frac{2 moles of oxygen}{1 mole of H_{2} O_{2} } =$8.98 moles of oxygen atoms

The 4.49 mol H₂O₂ contains 8.98 moles of oxygen atoms.

• Number of moles of oxygen atoms in N₂O

The number of moles of oxygen atoms present in a 2.11 moles sample of N₂O can be determined by:

$2.17 moles of N_{2}O x\frac{1 moles of oxygen}{1 mole of N_{2} } =$2.17 moles of oxygen atoms

The 2.17 mol N₂O contains 2.17 moles of oxygen atoms.

• Number of moles of oxygen atoms in H₂CO₃

The number of moles of oxygen atoms present in a 2.33×10⁻² moles sample of H₂CO₃ can be determined by:

$2.33x10^{-2} moles of H_{2}CO_{3} x\frac{3 moles of oxygen}{1 mole of H_{2}C O_{3} } =$0.0699 moles of oxygen atoms

The 2.33×10⁻² moles H₂CO₃ contains 0.0699 moles of oxygen atoms.

• Number of moles of oxygen atoms in CO₂

The number of moles of oxygen atoms present in a 24.3 moles sample of CO₂ can be determined by:

$24.3 moles of CO_{2} x\frac{2 moles of oxygen}{1 mole of C O_{2} } =$48.6 moles of oxygen atoms

The 24.3 mol CO₂ contains 48.6 moles of oxygen atoms.

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