Consider an electron placed in a region of space in which the electric potential spatially. The electron is placed at a point where the potential is -1000V relative to ground, and it is observed to accelerate to a point where the potential is -500V relative to ground. How fast is the electron moving at that point, assuming nothing else impacts the electron's motion

Explanation:

For a charged particle accelerated by an electric field, the kinetic energy gained by the particle is equal to the decrease in electric potential energy of the particle; therefore:

where

is the final kinetic energy

is the initial kinetic energy

q is the charge of the particle

is the potential difference

In this problem,

is the charge of the electron

The electron starts from rest, so its initial kinetic energy is

Therefore,

We can write the final kinetic energy of the electron as

where

is the electron mass

v is the final speed

And solving for v,

in the given question, the partial pressure is calculated by using the ideal gas equation, that is, pv = nrt

here, p is pressure, v is volume = 25 l, n is number of moles = 0.0104 moles, r is gas constant = -0.0821 l.atm / mol.k

t is temperature = 273 k

p = nrt / v

p = (0.0104 mol × 0.0821 l.atm / mol.k × 273 k) / 25 l

= 0.0093 atm

answer; 4 electrons;