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Q.

An explosion of atomic bomb release an energy of 7.6 × 10¹³J. If 200 Mev energy is released on fission of one ²³⁵U atom calculate (i) the number of uranium atoms undergoing fission, (ii) the mass of uranium used in the bomb.

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a

4.375 × 10²⁴; 926.66g

b

2.375 × 10²⁴; 926.66g

c

3.375 × 10²⁴; 926.66g

d

2.375 × 10²⁴; 826.66g

answer is D.

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Detailed Solution

$\begin{array}{l} n = \frac{Total energy}{energy perfission} = \frac{7 .6 \times 10^{13}}{32 \times 10^{- 12}} = 2 .375 \times 10^{24} \\ m = \frac{A \times n}{N_{A}} = \frac{235 \times 2 .375 \times 10^{24}}{6 \times 10^{23}} \\ ∴ m = 926 .66 gm . \end{array}$

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An explosion of atomic bomb release an energy of 7.6 × 1013J. If 200 Mev energy is released on fission of one 235U atom calculate (i) the number of uranium atoms undergoing fission, (ii) the mass of uranium used in the bomb.