# A small atomic bomb releases energy equivalent to the detonation of 20,000 tons of TNT; a ton of TNT releases 4 × 10 9 J of energy when exploded. Using 2 × 10 13 J/mol as the energy released by fission of 235 U, approximately what mass of 235 U undergoes fission in this atomic bomb?

### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

Chapter
Section

### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 18, Problem 67AE
Textbook Problem
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## A small atomic bomb releases energy equivalent to the detonation of 20,000 tons of TNT; a ton of TNT releases 4 × 109 J of energy when exploded. Using 2 × 1013 J/mol as the energy released by fission of 235U, approximately what mass of 235U undergoes fission in this atomic bomb?

Interpretation Introduction

Interpretation: Energy released by a small atomic bomb and energy released by fission of 235U is given. The mass of 235U undergoing fission in this atomic bomb is to be calculated.

Concept introduction: TNT stands for trinitrotoluene and it is used to express energy released in the explosion. Uranium is an essential component in the making of nuclear weapon. It sustains the chain reaction which is necessary for the explosion.

To determine: The mass of 235U undergoing fission in the given atomic bomb.

### Explanation of Solution

Explanation

Energy released by a ton of TNT =4×109J

Therefore, energy released by 20000 ton is =4×109×20000J=8×1013J

The energy released by fission of one mole of 235U is 2×1013J .

Therefore, energy value of 2×1023J is released by number of moles =1mol

The energy value of 1J is released by number of moles =(12×1023)mol

The energy value of 8×1013J</

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