Question

The number of electrons with$m = 0$, is an atom with atomic number $33$ is$5X$. Then the value of X is:

Answer 1

We know that the arrangement of numbers used to portray the position and energy of the electron in an iota is called quantum numbers. There are four quantum numbers, in particular, Principal, azimuthal, magnetic and turn quantum numbers.

Complete answer:
Given that the atomic number of an atom is $33$. The atomic number tells that the atom is arsenic and its electronic configuration is $1{s^2}2{s^2}2{p^6}3{s^2}3{p^6}4{s^2}3{d^{10}}4{p^3}$. The number of electrons is calculated using the formula ${2^n}$ where n is the principal quantum number.
Thus, the number of electrons in arsenic is ${2^4} = 16$
The value of X is calculated as,
$5x = 16$
$\Rightarrow x = \dfrac{{16}}{5}$

Additional information:
Principal Quantum Number:
Principal quantum numbers are signified by the image 'n'. They assign the main electron shell of the iota. Since the most likely distance between the core and the electrons is depicted by it, a bigger worth of the primary quantum number infers a more noteworthy distance between the electron and the core (which, thus, infers a more prominent nuclear size).
The worth of the chief quantum number can be any whole number with a positive worth that is equivalent to or more prominent than one. The value n=1 indicates the deepest electron shell of a molecule, which compares to the most minimal energy state (or the ground condition) of an electron.
In this manner, it may very well be perceived that the central quantum number, n, can't have a negative esteem or be equivalent to zero since it isn't feasible for an iota to have a negative worth or no incentive for a chief shell.
At the point when a given electron is imbued with energy (energized state), it tends to be seen that the electron hops from one guideline shell to a higher shell, causing an increment in the worth of n. Additionally, when electrons lose energy, they hop once more into lower shells and the worth of n likewise diminishes.
The increment in the worth of n for an electron is called retention, underlining the photons of energy being consumed by the electron. Also, the lessening in the worth of n for an electron is called emanation, where the electrons radiate their energy.

Note:
We need to know that arsenic happens in numerous minerals, ordinarily in mix with sulfur and metals, yet additionally as an unadulterated basic precious stone. Arsenic is a metalloid. It has different allotropes, yet just the dim structure, which has a metallic appearance, is critical to industry.
The essential utilization of arsenic is in combinations of lead (for instance, in vehicle batteries and ammo). Arsenic is a typical n-type dopant in semiconductor electronic gadgets.