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Nuclear fusion, the energy source of the Sun, hydrogen bombs, and fusion reactors, occurs much more readily when the average kinetic energy of the atoms is high—that is, at high temperatures. Suppose you want the atoms in your fusion experiment to have average kinetic energies of $6.40 \times 10^{-14} \mathrm{J} .$ What temperature is needed?

$T=1.55 \times 10^{9} K$

Physics 101 Mechanics

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

Temperature and Heat

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Sheffield

University of Winnipeg

Lectures

04:16

In mathematics, a proof is…

04:48

In mathematics, algebra is…

01:41

Nuclear fusion, the energy…

01:15

To start a deuterium-deute…

02:47

The probability of fusion…

01:33

Estimate the temperature n…

02:12

(I) What is the average ki…

00:56

A typical kinetic energy f…

(a) What is the average ki…

03:07

The nuclear reaction that …

01:48

Estimate One fusion reacti…

07:09

Integrated ConceptsFus…

01:32

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Given that the energy rele…

01:19

01:42

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07:24

(a) What temperature gas w…

01:57

Energy from Nuclear Fusion…

01:30

we know that the connect the average kinetic energy is going to be equal to 1/2 times the mass times the average squared, the velocity squared the average squared velocity, and so this would be equaling three over two times bolts, one constant K times t the temperature and so solving for the temperature, this would be equaling 22 times the average kinetic energy divided by three times Sportsman constant. And this is equaling two times 6.40 times 10 to the negative. 14th. Jules Aah! This would be divided by three times 1.38 times 10 to the negative. 23rd Jules for Calvin. And we find that this is equaling 3.9 times 10 to the ninth. Calvin. This would be the temperature required for such a reaction. That is the end of the solution. Thank you for watching.

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