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The percentage of deuterium in heavy wat...

The percentage of deuterium in heavy water is

A

22.2

B

11.2

C

44

D

20

Text Solution

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The correct Answer is:
To find the percentage of deuterium in heavy water (D₂O), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Composition of Heavy Water**: - Heavy water (D₂O) consists of two deuterium (D) atoms and one oxygen (O) atom. 2. **Determine the Molar Mass of Deuterium**: - The molar mass of deuterium (D) is approximately 2 g/mol. 3. **Calculate the Total Mass of Deuterium in Heavy Water**: - Since there are two deuterium atoms in heavy water, the total mass of deuterium in D₂O is: \[ \text{Total mass of D} = 2 \, \text{(mass of D)} \times 2 \, \text{(number of D atoms)} = 4 \, \text{g} \] 4. **Determine the Molar Mass of Oxygen**: - The molar mass of oxygen (O) is approximately 16 g/mol. 5. **Calculate the Total Mass of Heavy Water (D₂O)**: - The total mass of heavy water is the sum of the mass of deuterium and the mass of oxygen: \[ \text{Total mass of D₂O} = \text{mass of D} + \text{mass of O} = 4 \, \text{g} + 16 \, \text{g} = 20 \, \text{g} \] 6. **Calculate the Percentage of Deuterium in Heavy Water**: - The percentage of deuterium in heavy water can be calculated using the formula: \[ \text{Percentage of D} = \left( \frac{\text{mass of D}}{\text{total mass of D₂O}} \right) \times 100 \] - Plugging in the values: \[ \text{Percentage of D} = \left( \frac{4 \, \text{g}}{20 \, \text{g}} \right) \times 100 = 20\% \] ### Final Answer: The percentage of deuterium in heavy water is **20%**. ---

To find the percentage of deuterium in heavy water (D₂O), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Composition of Heavy Water**: - Heavy water (D₂O) consists of two deuterium (D) atoms and one oxygen (O) atom. 2. **Determine the Molar Mass of Deuterium**: ...
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