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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

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

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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