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Question

A sample of hydrogen gas is collected and it is observed that it contains only hydrogen and deuterium atoms in the atomic ratio 6000:1. The number of neutrons in 3 moles of such a sample should be nearly _______________.

A
0.0005
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B
3.01×1020
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C
1.80×1024
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D
1.0
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Solution

The correct option is A 3.01×1020
Ratio in 6000:1
Let no. of Hydrogen 6000x
No. of deuterium x
Now,
6000x+x=3 NA (It is given)

6001x=3×6.022×1023 atoms
x=3×6.022×10236001
x=3.01×1020
x=3×1020
Deuterium atom =3×1020
As hydrogen has no neutron in it.
Only deuterium contains neutrons.
3×1020 deuterium contains 3×1020 neutrons
Answer is option B.

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