Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of 1.65 electron volt (eV). (The electron and proton masses are
me = 9.11 ✕ 10−31 kg
and
mp = 1.67 ✕ 10−27 kg.
Boltzmann's constant is
kB = 1.38 ✕ 10−23 J/K.)
HINT
(a)
an electron
The electron volt is a unit of energy, defined as the kinetic energy that an electron gains when accelerated through a potential difference of 1 V: 1 eV = 1.60 ✕ 10−19 J. m/s
(b)
a proton
m/s
(c)
Calculate the average translational kinetic energy in eV of a 3.09 ✕ 102 K ideal gas particle. (Recall from Topic 10 that
12
mv2 =
32
kBT.)