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The most abundant elements by mass in the body of a healthy human adult are oxygen 61.4%, carbon 22.9%, hydrogen 10% , and nitrogen 2.6% . The weight which a 75kg person would gain if all 1H atoms are placed by 2H atoms is?
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The most abundant elements by mass in the body of a healthy human adul...
Mass in the body of a healthy human adult has :-
Oxygen = 61.4%, Carbon = 22.9%,
Hydrogen = 10.0% and Nitrogen = 2.6%
Total weight of person = 75 kg
Mass due to 1H is =
(10/100)x 75 = 7.5kg
1H atoms are replaced by 2H atoms.
So mass gain by person =7.5 kg
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The most abundant elements by mass in the body of a healthy human adul...
Calculating the Weight Gain from Replacing 1H atoms with 2H atoms
- First, calculate the total weight of the body using the given percentages of the most abundant elements:
- Oxygen (O): 61.4%
- Carbon (C): 22.9%
- Hydrogen (H): 10%
- Nitrogen (N): 2.6%
- To simplify the calculation, assume the body weight is 100 units.
- Therefore, the weight contribution of each element would be:
- O: 61.4 units
- C: 22.9 units
- H: 10 units
- N: 2.6 units
- Now, calculate the number of hydrogen atoms in the body. Since hydrogen contributes 10% of the body weight, it would be 10 units in a body weight of 100 units.
- Next, calculate the number of hydrogen atoms in a 75kg person. Since a 75kg person weighs 75 units, the number of hydrogen atoms would be 7.5 units.
- Now, calculate the weight gain if all 1H atoms are replaced by 2H atoms.
- The atomic weight of 1H is approximately 1.0078 u, and the atomic weight of 2H (deuterium) is approximately 2.0141 u.
- The weight gain per hydrogen atom replaced would be 2.0141 u - 1.0078 u = 1.0063 u.
- Finally, calculate the total weight gain by multiplying the weight gain per atom by the number of hydrogen atoms in a 75kg person:
- Total weight gain = 1.0063 u * 7.5 units = 7.54725 units
Therefore, a 75kg person would gain approximately 7.55 units of weight if all 1H atoms are replaced by 2H atoms.
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The most abundant elements by mass in the body of a healthy human adult are oxygen 61.4%, carbon 22.9%, hydrogen 10% , and nitrogen 2.6% . The weight which a 75kg person would gain if all 1H atoms are placed by 2H atoms is?
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