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To a sample of an element A (at.wt.=70) ...

To a sample of an element A (at.wt.=70) another element B (atomic wt = 120) is to be added as an impurity. For the ratio of the atoms in the mixture to be `1:10^(-9),x xx10^(-8)g` of B will be required for 35g of A. Find the value of x.

Text Solution

Verified by Experts

The correct Answer is:
6
`(A)/(B)=(1)/(10^(-9))` atoms
if A = n atom = wt = `(n)/(6xx10^(23))xx70`
`B = nxx10^(-9)` atoms
implies wt = `(nxx10^(-9))/(6xx10^(23))xx120`
given `(nxx70)/(6xx10^(23))=35implies(n)/(6xx10^(23))=(35)/(70)=(1)/(2)`
`therefore (nxx10^(-9)xx120)/(6xx10^(23))=(1)/(2)xx120xx10^(-9)=6xx10^(-8)`
`x=6`
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