Question

What is the mass of $1$ atom of carbon $ - 14$?

Answer 1

Hint: We have to know that the mass, a quantitative proportion of dormancy, a central property of all matter. It is in actuality, the obstruction that an assemblage of issue offers to an adjustment of its speed or position upon the utilization of a power. The more noteworthy the mass of a body, the more modest the change created by an applied power.

Complete step by step answer:
We have to know the carbon $ - 14$, or radiocarbon, is a radioactive isotope of carbon with a nuclear core containing six protons and eight neutrons. It is utilized in radiocarbon dating and radiolabeling. A restoratively significant radioactive isotope is carbon $ - 14$, which is utilized in a breath test to recognize the ulcer-causing microbes Heliobacter pylori.
We have to know, mass of one atom of carbon-14 has to be calculating below,
The atomic mass of carbon$ - 14$ is $14$.
Now, we have to use the following expression, that the mass of one atom of any substance is divided by the Avogadro’s constant.
$ = \dfrac{{14g/mol}}{{6.02 \times {{10}^{23}}atoms}}$
Where,
$6.02 \times {10^{23}}$ is Avogadro’s number.
Now, we get
= $2.32 \times {10^{ - 23}}g$
Hence,
The mass of one atom of carbon $ - 14$ is $2.32 \times {10^{ - 23}}g$.

Note: We have to know that Avogadro's law is an explanation that under similar states of temperature and pressing factor, equivalent volumes of various gases contain an equivalent number of atoms. It is named after the Italian researcher Amedeo Avogadro. In this way, the Avogadro constant is the proportionality factor that relates the molar mass of a substance to the normal mass of one particle, and the Avogadro number is likewise the inexact number of nucleons in a single gram of customary matter.