   Chapter 28, Problem 47PE

Chapter
Section
Textbook Problem

A supernova explosion of a 2.00 × 10 31 kg star produces 1.00 × 10 44 J of energy. (a) How many kilograms of mass are converted to energy in the explosion? (b) What is the ratio Δ m / m of mass destroyed to the original mass of the star?

To determine

(a)

The during supernova explosion how many kilograms of mass are converted in to energy.

Explanation

Given info:

• The mass of star is 2.00×1031kg.
• Supernova explosion produces 1.00×1044J of energy.

Formula used:

Formula to find mass using Einstein's mass energy equation,

Δm=E2c

Here, Δmis the converted mass of star, Eis the energy produced and cis the speed of light.

Calculation:

Substituting the given values, we get,

Δm=(1

To determine

(b)

The ratio of the mass destroyed to the original mass.

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