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Question: An element of avg. atomic mass z, has a isotopic masses (z + 2) and (z – 1). Therefore percentage a...

An element of avg. atomic mass z, has a isotopic masses

(z + 2) and (z – 1). Therefore percentage abundance of the heavier isotope is –

A

1003\frac{100}{3}%

B

1002\frac{100}{2}%

C

1004\frac{100}{4}%

D

(z+1)(z1)\frac{(z + 1)}{(z–1)}× 100%

Answer

1003\frac{100}{3}%

Explanation

Solution

Let % abundance of heavier isotope is x %

\therefore (z+2)×x+(z1)(100x)100\frac{(z + 2) \times x + (z–1)(100–x)}{100} = z

or xz + 2x – xz + x + 100z – 100 = 100z

or 3x = 100 or x = 1003\frac{100}{3}%