What Is the RMS Speed of Deuterons in a Fusion Reactor?

In summary, the conversation discusses the calculation of the RMS speed of deuterons in a nuclear fusion reactor and the relationship between temperature and RMS speed. The equation v_{rms}=\sqrt{\frac{3RT}{M}} is used and the value of M is found by adding the masses of the proton and neutron. The conversation also mentions the ability to find this information online.
  • #1
Eagle's Wings
17
1

Homework Statement



A deuteron is the nucleus of a hydrogen isotope and consists of one proton and one neutron. The
plasma of deuterons in a nuclear fusion reactor must be heated to about 300 million K.
(a) What is the RMS speed of the deuterons? Is this a significant fraction of the speed of light c =
3 x 10^8 m/s?
(b) What would the temperature of the plasma be if the deuterons had an RMS speed equal to
0.10 c?

R=8.314; T=300E6K

Homework Equations



v[itex]_{rms}[/itex]=[itex]\sqrt{\frac{3RT}{M}}[/itex]

The Attempt at a Solution



I know how to solve this, but I don't get the first part of the question. how do you find M? I tried M=1.008, but that doesn't make sense.
 
Last edited:
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  • #2
If a deuteron has one proton and one neutron, does it make sense that M = 1.008?

After all, you can look these things up on the internet.
 
  • #3
oh, thanks. I just add Mp + Mn to get M...right?
 

Related to What Is the RMS Speed of Deuterons in a Fusion Reactor?

1. What are thermal properties in physics?

Thermal properties in physics refer to the characteristics of materials that determine how they respond to changes in temperature. These properties include specific heat capacity, thermal conductivity, and thermal expansion.

2. What is specific heat capacity?

Specific heat capacity is the amount of energy required to raise the temperature of one gram of a substance by one degree Celsius. It is a measure of how much heat a material can store.

3. What is thermal conductivity?

Thermal conductivity is the measure of a material's ability to conduct heat. It is the rate at which heat passes through a material when there is a temperature difference between its two sides.

4. What is thermal expansion?

Thermal expansion is the tendency of materials to expand or contract when their temperature changes. When a material is heated, its molecules vibrate more and take up more space, causing it to expand.

5. How are thermal properties important in everyday life?

Thermal properties are important in everyday life because they affect the way materials behave in different temperatures. For example, understanding thermal expansion helps engineers design structures that can withstand changes in temperature. Knowledge of specific heat capacity is also important in cooking and designing cooling systems. Thermal conductivity is crucial in the design of insulation materials and in understanding how heat transfers in our environment.

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