Zirconium has 5 stable isotopes as shown below. Determine the % abundance of zr-92: isotope mass (amu) % abundance zr-90 89.905 51.45 zr-91 90.906? Zr-92 91.905? Zr-94 93.906 17.38 zr-96 95.908 2.80

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Chemistry

Cyrus

3 February, 21:59

Zirconium has 5 stable isotopes as shown below. Determine the % abundance of zr-92: isotope mass (amu) % abundance zr-90 89.905 51.45 zr-91 90.906? Zr-92 91.905? Zr-94 93.906 17.38 zr-96 95.908 2.80

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Jaquan Nguyen · Answer 1

Answer is: the % abundance of Zr-92 is 17.15%.

Ar (Zr) = ω (Zr-90) · Ar (Zr-90) + ω (Zr-91) ·Ar (Zr-91) + ω (Zr-92) ·Ar (Zr-92) + ω (Zr-94) ·Ar (Zr-94) + ω (Zr-96) ·Ar (Zr-96).

91.224 = 89.905 · 0.5145 + 90.906 · 0.1122 + 91.905 · ω (Zr-92) + 93.906 · 0.1738 + 95.908 · 0.0280.

91.905 · ω (Zr-92) = 91.224 - (46.256 + 10.199 + 16.320 + 2.685).

ω (Zr-92) = 15.764 : 91.905.

ω (Zr-92) = 0.1715 · 100% = 17.15%.