The total number of neutrons present in 10g D2O (D is H) are :
(1) 2.5
(2) 5.0
(3) 10.0
(4) None of these
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Answer: option c
Explanation:molar mass =20
and given mass to us is 10
mole is 0.5
as in
one mole of D2O number of neutron is = 10 x 6.022 x 10^23 or 10 mole
in 0.5 mole of D2O number of neutron is = 5 x 6.022 x 10^23 or 5 moles
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Answered by
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Given,
The mass of D₂O = 10g
To Find,
The total number of neutrons in 10g of D₂O.
Solution,
- D₂O is a compound made of deuterium and oxygen.
- The difference between the mass and atomic numbers indicates the number of neutrons in an atom.
- Deuterium is an isotope of hydrogen.
- Deuterium, ₁D², has a mass number of 2 and atomic number 1.
- Thus the number of neutrons in each deuterium atom =
- Oxygen, ₈O¹⁶, has an atomic number 8 and mass number 16.
- Thus the number of neutrons in oxygen =
- The total number of neutrons in the D₂O molecule =
⇒
⇒
Thus one mole of Deuterium oxide has 10 neutrons.
The molecular weight of D₂O =
⇒
⇒
Thus one mole, 20g, of Deuterium oxide has 10 neutrons.
Then the number of neutrons in 10g can be calculated as follows:
→
→
On cross multiplication,
⇒
Henceforth, the number of neutrons in 10g of D₂O is 5.
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