The temperature and pressure in the Sun's atmosphere are `2.00 xx 10^6 ` K and 0.0300 Pa. Calculate the rms speed of free electrons (mass `9.11 xx 10^(-31)` kg) there, assuming they are an ideal gas.

Explanation

To calculate the root mean square (rms) speed of free electrons in the Sun's atmosphere, we can use the formula for rms speed given by:

\[ v_{rms} = \sqrt{\frac{3RT}{M}} \]

Where:
- \( R \) is the universal gas constant, approximately \( 8.314 \, \text{J/(mol K)} \)
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