Questions: H2O2 contains equal parts by weight of hydrogen and oxygen.
(A) True
(B) False
Transcript text: $\mathrm{H}_{2} \mathrm{O}_{2}$ contains equal parts by weight of hydrogen and oxygen.
(A) True
(B) False
Solution
Solution Steps
Step 1: Determine the Molecular Weight of $\mathrm{H}_{2}\mathrm{O}_{2}$
First, we need to calculate the molecular weight of hydrogen peroxide ($\mathrm{H}_{2}\mathrm{O}_{2}$). The molecular weight is the sum of the atomic weights of all atoms in the molecule.
The atomic weight of hydrogen (H) is approximately 1.008.
The atomic weight of oxygen (O) is approximately 16.00.
The molecular weight of $\mathrm{H}_{2}\mathrm{O}_{2}$ is:
\[
2 \times 1.008 + 2 \times 16.00 = 2.016 + 32.00 = 34.016
\]
Step 2: Calculate the Weight Contribution of Hydrogen and Oxygen
Next, we calculate the weight contribution of hydrogen and oxygen in the molecule.
The weight contribution of hydrogen is:
\[
\frac{2 \times 1.008}{34.016} \approx \frac{2.016}{34.016} \approx 0.0593 \text{ or } 5.93\%
\]
The weight contribution of oxygen is:
\[
\frac{2 \times 16.00}{34.016} \approx \frac{32.00}{34.016} \approx 0.9407 \text{ or } 94.07\%
\]
Step 3: Compare the Weight Contributions
From the calculations, it is clear that hydrogen and oxygen do not contribute equally to the weight of $\mathrm{H}_{2}\mathrm{O}_{2}$. Hydrogen contributes approximately 5.93%, while oxygen contributes approximately 94.07%.