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University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

The power output of the Sun is 4 × 10 26 W. (a) If 90% of this energy is supplied by the proton-proton chain, how many protons are consumed per second? (b) How many neutrinos per second should there be per square meter at the surface of Earth from this process?

To determine

(a)

The protons consumed per second.

Explanation

Given:

The power output of the Sun is, P=4×1026W.

The percent of Sun energy supplied to the proton-proton chain is, p=90%.

Formula used:

The proton-proton cycle is given by

  2e1+41H4He+6γ

The Sun energy supplied to the proton is given by

  PProton=pP

The number of the proton per second is given by

  np=(Pproton)(n)

Here, n is the number of protons produced per reaction.

Calculation:

The Sun energy supplied to the proton is calculated by

  PProton=pP=(90%)(4× 10 26W)=(90%( 1 100% ))(4× 10 26W)=3.6×1026W

Solve further.

  =(3.6× 10 26W)( 1MeV 1.60× 10 13 J)=(3.6× 10 26W)( 1MeV 1

To determine

(b)

The number of neutrinos per second on per square meter of the Earth.

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