   Chapter 19, Problem 41E

Chapter
Section
Textbook Problem

# The sun radiates 3.9 × 1023 J of energy into space every second. What is the rate at which mass is lost from the sun?

Interpretation Introduction

Interpretation: The energy radiated by the sun into space every second is given. The rate at which mass is lost from the sun is to be calculated.

Concept introduction: Energy change of a system can be calculated by Einstein’s theory of relativity. When a system loses or gains energy, it also gains or loses a quantity of mass given by E/c2 .

To determine: The rate at which mass is lost from the sun.

Explanation

Explanation

Einstein mass energy equation is given below.

ΔE=ΔmC2

Where,

• ΔE is the change in energy.
• Δm is the change in mass.
• C is the velocity of light.

Substitute the values of ΔE and C in the equation.

ΔE=ΔmC2Δm=ΔEC2Δm=3

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