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An element (A) has 5 isotopes. The masses (and abundances) of the isotopes 46A, 47A, 48A, 50A are 4595263 u (7.25 %), 46.9518 u (6.44 %), 47.9479 u (63.72 %), and 49.9448 u (5.18 %) respectively. If the element Ahas an atomic mass of 47.87 u, and the last isotope 49A has a percent abundance in the ratio of 3.361 that of SA, what is the mass of 49A?

Question

An element (A) has 5 isotopes. The masses (and abundances) of the isotopes 46A, 47A, 48A, 50A are 4595263 u (7.25 %), 46.9518 u (6.44 %), 47.9479 u (63.72 %), and 49.9448 u (5.18 %) respectively. If the element A
has an atomic mass of 47.87 u, and the last isotope 49A has a percent abundance in the ratio of 3.361 that of SA, what is the mass of 49A?

check_circleAnswer
Step 1

Given:

Average atomic mass = 47.87u.

49A/50A = 3.361.

Abundance (%
Mass
Isotope
(U)
45.9526 7.25
46.9518 6.44
47.9479 63.72
49.94485.18
46A
47A
48A
50A
3.361x5.18 17.409
49A
X
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Abundance (% Mass Isotope (U) 45.9526 7.25 46.9518 6.44 47.9479 63.72 49.94485.18 46A 47A 48A 50A 3.361x5.18 17.409 49A X

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Step 2
Σ
abundance (%).
(mass of isotope X
Average atomic mass
11
100
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Σ abundance (%). (mass of isotope X Average atomic mass 11 100

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Step 3

Calculation for mass of...

Average atomic mass
7.25
6.44
63.72
= 45.9526 X
46.9518 x
100
47.9479 x
100
100
5.18
17.409
+49.9448 x
+ x X
100
100
Average atomic mass
= 3.3316 3.0237 30.5524 2.5872 +0.1741x
47.87
39.3950.1741x
8.491
= X
0.1741
x = 48.896 u
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Image Transcriptionclose

Average atomic mass 7.25 6.44 63.72 = 45.9526 X 46.9518 x 100 47.9479 x 100 100 5.18 17.409 +49.9448 x + x X 100 100 Average atomic mass = 3.3316 3.0237 30.5524 2.5872 +0.1741x 47.87 39.3950.1741x 8.491 = X 0.1741 x = 48.896 u

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Chemistry

Atomic structure

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