Question

An atom of neon has a mass of \[3.35 \times {10^{ - 23}}g\]. How many atoms of neon are there in \[20g\] of the gas?

Answer 1

Hint: The Neon gas is inert/noble gas and its atomic number is \[10\]. atomic weight is about \[20.179\], the melting point of neon gas is \[248.67^\circ C\,(i.e,\, - 415.5^\circ F)\] and its boiling point is \[ - 246.048^\circ C\,(i.e,\, - 411^\circ F)\], neon gas is inert gas in periodic table situated in group \[18\] and is most stable gas.

Complete step by step solution:
The unitary method application is a method for problem solving by first knowing the value of a single unit, and then finding the required value by multiplying the previously acquired single unit value with it. Basically, this method is used to find the value of a single unit from the value of a multiple, and so on to find the value of a multiple.
Neon is an inert or noble gas which is non reactive in nature and has a noble gas configuration of electrons distribution, neon gas generally emits orange light. Neon is an atom which has an atomic number of ten. Its atomic weight is perfectly \[20.179\] which makes it to have ten neutrons and ten protons in its electronic configuration in its nucleus and ten electrons outside .
By Applying unitary method we get,
\[3.35 \times {10^{ - 23}}g\] contains one atom of neon
Therefore, one gram of neon contains \[\dfrac{1}{{3.35 \times {{10}^{ - 23}}g}}\]
\[20g\] of neon contains, \[20 \times \dfrac{1}{{3.35 \times {{10}^{ - 23}}}}\]

So, \[20g\] of neon contains \[5.97 \times {10^{23}}\] atoms.

Note:
Neon gas is a noble gas which is used in vacuum tubes, high-voltage indication devices, lightning arresters devices, wavemeter tubes, television tubes i.e, CRT, and in helium–neon lasers. Neon in a liquid form is commercially used as a cryogenic refrigerant in applications not requiring the cooling or low temperature range attainable with much extreme liquid-helium refrigeration.