Rubidium has two naturally occurring isotopes, rubidium -85 ( atomic mass = 84.9118 amu; abundance = 72.15%) and rubidium -87 (atomic mass = 86.9092; abundance = 27.85%). Calculate the atomic weight of rubidium

Respuesta :

Answer:

The answer to your question is: 85.458 amu

Explanation:

data

Rubidium-85   A = 84.9118 amu   abundance = 72.15%  

Rubidium - 87  A = 86.9092 amu abundance = 27.85%

Atomic weight = ?

Atomic weight = 84.9118(0.7215) + 86.9092(0.2785)

Atomic weight = 61.2538 + 24.2042

Atomic weight = 85.458 amu

Rubidium has two naturally occurring isotopes, rubidium -85 ( atomic mass = 84.9118 amu; abundance = 72.15%) and rubidium -87 (atomic mass = 86.9092; abundance = 27.85%). The atomic weight of rubidium is 85.46 amu.

How to calculate the average atomic mass of element ?

To calculate the average atomic mass of element use this formula

Average Atomic Mass = f₁M₁ + f₂M₂

where,

f = Fraction of natural abundance of isotope

M = Mass number of isotope

Isotope Rubidium -85 (Atomic mass = 84.9118 amu and Abundance = 72.15)

Abundance = [tex]\frac{72.15}{100}[/tex]

                    = 0.7215

Isotope Rubidium- 87 (Atomic mass = 86.9092 amu and Abundance = 27.85%)

Abundance = [tex]\frac{27.85}{100}[/tex]

                    = 0.2785

Now put the value in above formula, we get:

Average Atomic Mass = f₁M₁ + f₂M₂

                                     = (84.9118 × 0.7215) + (86.9092 × 0.2785)

                                     = 61.26 + 24.20

                                     = 85.46 amu

Thus from the above conclusion we can say that Rubidium has two naturally occurring isotopes, rubidium -85 ( atomic mass = 84.9118 amu; abundance = 72.15%) and rubidium -87 (atomic mass = 86.9092; abundance = 27.85%). The atomic weight of rubidium is 85.46 amu.

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