The atomic weight of Ga is 69.72 amu. There are only two naturally occurring isotopes of gallium: #"^69Ga# with a weight of 69.0 amu, and #"^71Ga# with a weight of 71.0 amu. What is approximate natural abundance of the #"^71Ga# isotope?

Answer 1

The natural abundance is #=36%#

Let the percentage of the isotope #""^71Ga# be #=x%#

Next,

The percentage of the isotope #""^69Ga# is #=(100-x)%#

The mass balance equation is written by us.

#100*69.72=x*71+(100-x)*69#
#6972=71x+6900-69x#
#2x=6972-6900=72#
#x=36#

Consequently,

The percentage of the isotope #""^71Ga# is #=36%#
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Answer 2

The approximate natural abundance of the ^71Ga isotope can be calculated using the atomic weights and the relative abundance of the isotopes. Given that the atomic weight of Ga is 69.72 amu, and the weights of the two isotopes ^69Ga and ^71Ga are 69.0 amu and 71.0 amu respectively, the natural abundance of ^71Ga can be calculated as follows:

Let x be the natural abundance of ^71Ga. (69.0 * x) + (71.0 * (1 - x)) = 69.72 Solving for x: 69.0x + 71.0 - 71.0x = 69.72 -2.0x = 69.72 - 71.0 -2.0x = -1.28 x = -1.28 / -2.0 x ≈ 0.64

Therefore, the approximate natural abundance of the ^71Ga isotope is approximately 64%.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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