There are two isotopes of an element with atomic mass z. Heavier one has atomic mass z + 2 and lighter one has z - 1, then abundance of lighter one is

Question

There are two isotopes of an element with atomic mass z. Heavier one has atomic mass z + 2 and lighter one has z - 1, then abundance of lighter one is (A) 66.6% (B) 96.7% (C) 6.67% (D) 33.3%

Tardigrade Admin · Accepted Answer

Let the per cent abundance of lighter isotope is ∴ Atomic mass, z=(x(z-1)+(100-x) (z+2)/x+100-x) 3x=200 or x=66.6%

Q. There are two isotopes of an element with atomic mass z. Heavier one has atomic mass z + 2 and lighter one has z - 1, then abundance of lighter one is

66.6%

96.7%

6.67%

33.3%

Let the per cent abundance of lighter isotope is $∴$ Atomic mass, $z = \frac{x ( z - 1 ) + ( 100 - x ) ( z + 2 )}{x + 100 - x}$ $3 x = 200$ or $x = 66.6$

Q. There are two isotopes of an element with atomic mass z. Heavier one has atomic mass z + 2 and lighter one has z - 1, then abundance of lighter one is

66.6%

96.7%

6.67%

33.3%

Let the per cent abundance of lighter isotope is ∴ Atomic mass, z=x+100−xx(z−1)+(100−x)(z+2)​ 3x=200 or x=66.6

Let the per cent abundance of lighter isotope is $∴$ Atomic mass, $z = \frac{x ( z - 1 ) + ( 100 - x ) ( z + 2 )}{x + 100 - x}$ $3 x = 200$ or $x = 66.6$