   Chapter 32, Problem 35PE

Chapter
Section
Textbook Problem

The power output of the Sun is 4 × 10 26 W .(a) If 90% of this is supplied by the proton−proton cycle, how many protons are consumed per second?(b) How many neutrinos per second should there be per square meter at the Earth from this process? This huge number is indicative of how rarely a neutrino interacts, since large detectors observe very few per day.

To determine

(a)

How many protons are consumed per second if the power output of the Sun is 4×1026W and 90% of this is supplied by the proton-proton cycle?

Explanation

Given info:

P=4×1026W

Formula used:

Calculation:

Energy production in sun given by the equation

2e+4H1H4e+2υe+6γ  (26.7MeV)

So, here four protons are consumed and 26.7 MeV is produced.

Energy of four proton consumption, = 26.7MeV = 26.7×1.6×1013=5.41×1012J

Power output of sun =4×1026

To determine

(b)

How many neutrinos per second should there be per square meter at the Earth from this process? This huge number is indicative of how rarely a neutrino interacts, since large detectors observe very few per day

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