Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 17 - Radioactivity and Nuclear Chemistry - Exercises - Cumulative Problems - Page 640: 98

Answer

5.93 g of Kr-91 is produced by the complete fission of 15 g of U-235.

Work Step by Step

Atomic mass of U-235 = 235.04 amu. Hence, 1 mole U-235 = 235.04 g. Therefore, 235.04 g of U-235 contain 6.023 $\times 10^{23}$ no. of U-235 atoms 15 g of U-235 will contain $\frac{6.023 \times 10^{23}\times15}{235.04}$ = 3.84 $\times10^{22}$ no. of U-235 atoms These no. of atoms will produce same no. of Kr-91 atoms. Atomic mass of Kr-91 = 92.93 g hence, 6.023 $\times 10^{23}$ no. of Kr-91 have mass 92.93 g Therefore, 3.84 $\times10^{22}$ no. of Kr-91 will have mass of $\frac{3.84 \times10^{22}\times92.93}{6.023\times 10^{23}}$ $\approx$ 5.93 g Hence, the answer is 5.93 g.
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