How fast is an ion of deuterium moving,assuming rms speed,if it is in a plasma with a temperature of 190 × 10⁶ K? (k_B = 1.38 × 10^-23 J/K and m_D = 2 × 1.66 × 10^-27 kg) A)1.54E+6 m/s B)1.54E+4 m/s C)2.37E+12 m/s D)8.89E+5 m/s E)2.80E+6 m/s

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Quizplus · Accepted Answer

The correct answer is A because the root mean square speed of an ion is given by the formula v_rms = sqrt(3k_BT/m), where k_B is the Boltzmann constant, T is the temperature, and m is the mass of the ion. Plugging in the given values, we get v_rms = sqrt(3 * 1.38 * 10^-23 J/K * 190 * 10^6 K / (2 * 1.66 * 10^-27 kg)) = 1.54 * 10^6 m/s.

How Fast Is an Ion of Deuterium Moving,assuming Rms Speed,if