• anonymous
The electrons in a metal that produce electric currents behave approximately as molecules of an ideal gas. The mass of an electron is me = 9.109·10-31 kg. If the temperature of the metal is 289 K, what is the root-mean-square speed of the electrons?
  • Stacey Warren - Expert
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  • katieb
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  • anonymous
Formula for root mean square velocity, \[V= \sqrt{3.k.T/m}\] where k is the boltzmann constant, T is temperature in kelvins and m being the mass of 1 molecule of the gas( in this case an electron). Thus plugging in the numbers, V= sqrt( 3 . 1.380x10^-23 . 289 / 9.109x10^-31) =1.14608x10^5 m/s

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