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Question: Atomic weight of \(Ne\) is 20.2. \(Ne\)is a mixture of \(Ne^{20}\)and\(Ne^{22}\). Relative abundance...

Atomic weight of NeNe is 20.2. NeNeis a mixture of Ne20Ne^{20}andNe22Ne^{22}. Relative abundance of heavier isotope is

A

90

B

20

C

40

D

10

Answer

10

Explanation

Solution

Average atomic weight/ The average isotopic weight

& \text{\% of 1st isotope } \times \text{ relative mass of 1st isotope } + \\ & \text{\% of 2nd isotope } \times \text{ relative mass of 2nd isotope} \end{aligned}}{\text{100}}$$ $\therefore\mspace{6mu}\mspace{6mu} 20.2 = \frac{a \times 20 + (100 - a) \times 22}{100}$; $\therefore\mspace{6mu}\mspace{6mu} a = 90$; per cent of heavier isotope $= 100 - 90 = 10$