Question

( If the energy of an atom in its ground state is -54.4 eV, then find its ionising potential.

Hint:

Ionising potential is the energy required to ionise an atom, which is equal to the magnitude of the energy of the ground state.

Answer 1

Step 1: Understanding Ionising Potential.
The ionising potential refers to the energy required to remove an electron from the atom and bring it to the zero energy level (ionised stat. It is equal to the magnitude of the energy of the atom in its ground state.
Step 2: Formula.
The ionising potential is given by: \[ \text{Ionising potential} = \left| E_{\text{ground state}} \right| \] Where \( E_{\text{ground state}} \) is the energy of the atom in its ground state.
Step 3: Given Data.
It is given that the energy of the atom in its ground state is \( E_{\text{ground state}} = -54.4 \, \text{eV} \).
Step 4: Calculation.
Substituting the given value: \[ \text{Ionising potential} = \left| -54.4 \, \text{eV} \right| = 54.4 \, \text{eV} \]
Final Answer:
The ionising potential of the atom is \( \boxed{54.4 \, \text{eV}} \).