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How many atoms are there in \[2.0\] mole of \[Si\]?

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Last updated date: 19th Jul 2024
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Answer
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Hint: We realize that the measure of substance having the very same number of atoms as are available in \[12{\text{ }}g\] of \[{C^{12}}\]is known as mole. Moles is the proportion of the mass of substance in \[g\] to the molar mass of the substance in \[g/mol\]. \[1{\text{ }}mol\] of any substance contains \[6.022 \times {10^{23}}\] atoms. \[6.022 \times {10^{23}}\] is Avogadro's number.


Complete step by step answer:
Mole is determined as the amount of any substance comprising the same number of key units as the indistinguishable number of key units in unadulterated example of \[^{12}C\] estimating precisely\[12{\text{ }}g\].
One mole determines Avogadro's number of particles. i.e., \[{N_A} = 6.022 \times {10^{23}} \cdot mo{l^{ - 1}}\]. Avogadro's number of \[12C\] particles, has a MASS of \[12.0 \cdot g\] roughly.
Avogadro's number is along these lines the connection between miniature world particles, and atoms, which we can't see however whose presence we can deduce, with the full-scale universe of grams, and liters, and kilograms, that which we can quantify by certain methods in a lab.
We realize that \[1{\text{ }}mol\] of any substance contains \[6.022 \times {10^{23}}\]particles. We are given \[2.00\] moles of silicon. Accordingly,
Number of silicon atoms \[ = 2\;mol \times \dfrac{{6.022 \times {{10}^{23\;}}atoms}}{{1\;mol}}\]
Number of silicon atoms \[ = 12.044 \times 1023{\text{ }}atoms\]
Subsequently, \[2.00\] moles of silicon contain \[12.044 \times {10^{23}}\] atoms of silicon.

Additional Information:
The Avogadro's number is named after the researcher Amedeo Avogadro who found it. The Avogadro's number is otherwise called Avogadro's constant. It is indicated by \[{N_A}\]. The Avogadro's number is the proportionality factor that relates the quantity of constituent particles for example the quantity of particles or atoms or particles in a single mole of a substance. The Avogadro's constant is a dimensionless number.

Note: The quantity of atoms of a compound is Avogadro's number for \[\;1\] mole of compound. The number \[6.022 \times {10^{23}}\] is known as Avogadro's number. The Avogadro's number gives the quantity of atoms, particles or atoms present in one mole of any substance.