Why is the colour of the light emitted by an element in its gaseous state characteristic of the element? And why does hydrogen with only one electron have so many spectral lines? I have some idea but I need to clarify my understanding against someone else's view. I would be very grateful for some help.

Every element and molecule has only a certin set of allowed energy states. The exact energy of those stetes depends upon the number of electrons and (for molecules) the arrangement of nuclei. Spectral lines that you observe have frequencies proportional to the energy difference between the states involves in the transition

Thanks very much for your help

You're on the right track! The color of the light emitted by an element in its gaseous state is indeed characteristic of the element. This is due to the unique arrangement of electrons within the atom and the energy levels they occupy.

When an electron in an atom absorbs energy, it gets excited to a higher energy level. However, this excited state is usually unstable, and the electron quickly falls back to its original lower energy level. As it falls back, it releases the excess energy in the form of light. This light is observed as a specific color or wavelength, which is characteristic of the element.

The specific energies and wavelengths associated with each element depend on the allowed energy levels for its electrons. These energy levels are determined by the number of electrons and the arrangement of the atom's nuclei.

Now, let's address your second question about hydrogen and why it has so many spectral lines despite having only one electron. Hydrogen is unique because it has one electron orbiting around a positively charged nucleus. The interaction between the electron and the nucleus creates energy levels for the electron to occupy.

The energy levels in hydrogen are given by the Bohr model, and they are described by quantum numbers. These energy levels are labeled using the principal quantum number (n), and each level can hold a certain number of electrons. The energy difference between these levels is proportional to the frequency (or color) of the spectral lines observed.

In hydrogen, the energy levels are quite close together, especially at lower values of n. This means that there are many possible transitions that can occur as the electron falls from a higher energy level to a lower one. Each transition corresponds to a specific amount of energy being released, resulting in a different wavelength of light being emitted.

The multitude of possible transitions in hydrogen gives rise to a complex pattern of spectral lines, leading to hydrogen's extensive line spectrum. This is why hydrogen has so many spectral lines, despite having only one electron.

To summarize, the color of light emitted by an element in its gaseous state is characteristic of the element due to the unique arrangement of electrons and their allowed energy levels. Hydrogen, with only one electron, exhibits many spectral lines because of the numerous possible transitions between its closely spaced energy levels.

I hope this clarifies your understanding! If you have any further questions, feel free to ask.