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Question

A sample of Ne is originallly 10% by mole in Ne20 isotopes and remaining are in Ne22 isotope. In n diffusion stemos 25% Ne20 can be achieved. Find (n6).
(Given:log3=0.48,log1.1=0.04)

A
0
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B
1
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C
2
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D
3
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E
4
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Solution

The correct option is D 3
Rate of diffussion is given by:
Rate1Rate2=M2M1
For M1=20 and M2=22 for 20Ne and 22Ne
Rate1Rate2=2220=1.1
=separation
To obtain 25% 20Ne let n steps required. An equation that relates the initial and final proportion of an isotope to the number of times the separation process is repeated is:
final purity = (initial purity)(separation)n
In this case, 0.25=(0.10)(1.1)n/2,
log0.25=log0.10+n2log1.1n2log1.1=12log5n=19.23
Thus n/6=19.23/6=3.2
therefore option D is correct

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