Question

Calculate the atomic mass of gallium, symbol Ga. Gallium has two isotopes: Ga-69 and Ga-71. The relative abundance of Ga-69 is 60.12% and its atomic mass is 68.9257 amu. The relative abundance of Ga-71 is 39.88% and its atomic mass is 70.9249 amu

Answer 1

Answer:

The atomic mass of gallium (Ga) = 69.723 g/mol

Explanation:

Given: Two isotopes of Gallium (Ga) are Gallium-69 (⁶⁹Ga) and Gallium-71 (⁷¹Ga)

For ⁶⁹Ga:

Relative abundance = 60.12% = 60.12 ÷ 100 = 0.6012; Atomic mass = 68.9257 g/mol

For ⁷¹Ga:

Relative abundance = 39.88% = 39.88 ÷ 100 = 0.3988; Atomic mass = 70.9249 g/mol

∴ The atomic mass of Ga = (Relative abundance of ⁶⁹Ga × Atomic mass of ⁶⁹Ga) + (Relative abundance of ⁷¹Ga × Atomic mass of ⁷¹Ga)

⇒ Atomic mass of Ga = (0.6012 × 68.9257 g/mol) + (0.3988 × 70.9249 g/mol) = 69.723 g/mol

Therefore, the atomic mass of gallium (Ga) = 69.723 g/mol

Answer 2

The atomic mass of gallium, with symbol Ga is 69.723 amu.

Given the following data:

• Atomic mass of Ga-69 = 68.9257 amu.

• Atomic mass of Ga-71 = 70.9249 amu

• Relative abundance of Ga-69 = 60.12%

• Relative abundance of Ga-71 = 39.88%

To calculate the atomic mass of gallium, with symbol Ga:

First of all, we would determine the fractional abundance of each isotope.

For Ga-69:

$F.A \;of\;Ga_{69} = \frac{60.12}{100} = 0.6012$

For Ga-71:

$F.A \;of\;Ga_{71} = \frac{39.88}{100} = 0.3988$

Next, we would use this equation to calculate the atomic mass of gallium;

$Atomic\;mass = [mass \times F.A]_{69} + [mass \times F.A]_{71}\\\\Atomic\;mass = [68.9257 \times 0.6012]_{69} + [70.9249 \times 0.3988]_{71}\\\\Atomic\;mass = 41.4381 + 28.2849$

Atomic mass = 69.723 amu.

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