A How is the Temperature of Gas in a Cluster Calculated?

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The temperature of gas in a cluster is calculated using the formula kT = mpv^2, where k is the Boltzmann constant and mp is the mass of a proton. A typical velocity dispersion of 700 km/s translates to approximately 6 x 10^7 K when the values are correctly plugged into the equation. The discrepancy arises from not converting the velocity from km/s to m/s, which is crucial for accurate calculations. By ensuring all units are consistent, the calculation aligns with the expected temperature. Accurate unit conversion is essential for deriving the correct temperature of gas in astrophysical contexts.
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I am just trying to parse the following together:
The following link states that: "since kT ~ mpv2. A typical velocity dispersion 700 km/s implies T ~ 6 x 107 K from this source alone."

How did they get 6*10^7K ?

When I try this, using mp = 1.67*10^-27 , k =1.38*10^-23 I end up getting 84 as a final answer, nowhere near 6*10^7. Can anyone clarify this? https://pages.astronomy.ua.edu/keel...o the temperature associated with the cluster
 
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Check your work. Plugging in ##\frac{m_p v^2}{k}## gives me about ##6*10^7##.
Remember to convert 700 km/s to m/s.
 
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