Final answer:
The electric potential difference through which an electron moves is 1 V, and the work done on the electron is 1.60 × 10–19 J, representing 1 electron-volt (1 eV).
Step-by-step explanation:
The question is asking to calculate the work done and the electric potential difference required to move an electron. Using the provided information, the electric potential difference (V) and work (W) can be found through the formula:
W = qV,
where:
- W is the work done in joules (J),
- q is the charge in coulombs (C), and
- V is the electric potential difference in volts (V).
The charge of an electron is given as -1.602 × 10–19 C. The work done when an electron is accelerated through a potential difference of 1 V is equivalent to 1 electron-volt (1 eV), and 1 eV is equal to 1.60 × 10–19 joules, which is the energy given to the electron. Therefore, if an electron is moved through a potential difference of 1 V, the work done would be 1.60 × 10–19 J.