Indium has two naturally occurring isotopes and a weighted average atomic mass of 114.82 amu . one of the isotopes has a mass of 112.9043 amu. which is likely to be the second isotope: 111in, 112in, 114in, or 115 in

Respuesta :

115 in  is likely  to be the second isotope

Reason is that if one isotope has  a mass of 112.9043 amu then the other isotope which  less than 114.82 amu the other isotope must be greater than 114.82 amu. therefore 115 in atomic mass is the other isotope since it is greater   than  114.82 the average mass  making it is more abundance .

The second isotope must be In-115 because it is close to the calculated value.

What is an isotope?

An isotope is a form of the atom which has a different mass but the same atomic number.

As given in the question the average mass of two Isotopes of Indium is  114.82 amu.

One of them has a mass of 112.9043 amu.

The mass of the isotope can be calculated by the formula,

[tex]M_{avg} = \dfrac {M_A+M_x}2[/tex]     or

[tex]M_x = {M_{avg}\times 2}-{M_A}[/tex]

Where,

[tex]M_x[/tex] -   the mass of the second isotope

[tex]M_A[/tex] - Mass of the first isotope = 112.9043 amu.

[tex]M_{avg}[/tex] - average mass of isotopes  =  114.82 amu.

Put the values in the formula,

[tex]M_x = {114.82\times 2-112.9043}\\\\M_x = 116.73[/tex]

Therefore, the second isotope must be In-115 because it is close to the calculated value.


Learn more about isotope:

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