How fast is an ion of deuterium moving,assuming rms speed,if it is in a plasma with a temperature of 100 x 10⁶K? (k_B = 1.38 x 10^-23J/K and m_D = 2 x 1.66 x 10^-27 kg) A)1.12 x 10⁶ m/s B)0.93 x 10⁵ m/s C)0.46 x 10⁵ m/s D)2.32 x 10⁴ m/s

Question

Quizplus · Accepted Answer

The correct answer is A because the rms 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 x 10^-23 J/K * 100 x 10^6 K / (2 * 1.66 x 10^-27 kg)) = 1.12 x 10^6 m/s.

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