Answer

Verified

449.1k+ views

**Hint:**

The number of atoms in one mole of any substance is equal to Avogadro’s Number i.e. \[6.02 \times {10^{23}}\]atoms per mole

**Formula used:**\[N = {N_A} \times n\]

**Complete step by step answer:**

-We can quantify matter on the basis of its weight into various forms of measures to quantify the elementary particles present within the given sample of matter.

-A mole represents a very large number of units i.e. \[6.02 \times {10^{23}}\] units. Now you may be wondering why mole is considered as a mode of measurement of the amount of matter. The simple explanation to this is that experimentally, it has been found out that 1mol of any substance contains the same number of molecules of the given sample of matter. One mole of a substance is equivalent to the sample of the given substance if its weight is equal to the molecular or atomic weight of the substance. The number of molecules in one mole of any substance is equal to Avogadro’s Number i.e. atoms \[6.02 \times {10^{23}}\]molecules per mole.

-The relation between the number of molecules in a given sample and the number of moles of the same sample is directly proportional. Also, by simple mathematics, we can understand that if 1 mol of a substance contains \[6.02 \times {10^{23}}\]molecules, then ‘n’ mols of the substance will contain \[n \times 6.02 \times {10^{23}}\]molecules.

-If we write Avogadro's Number as \[{N_A}\], then we can say that the number of molecules present in ‘n’ moles of the substance is \[{N_A} \times n\].

Hence, the final representation of these relations can be shown as:

\[N = {N_A} \times n\]

Dividing both sides by ‘n’

\[\therefore \dfrac{N}{n} = \dfrac{{{N_A} \times n}}{n}\]

\[\therefore \dfrac{N}{n} = {N_A}\]

\[\therefore \dfrac{N}{n} = 6.022 \times {10^{23}}\]

**Hence, Option B is the correct answer.**

**Note:**

The value of N/n is universal in nature. This means that the variation in either the elemental gas or the number of moles of it present would not be affected. Hence, N/n is a constant value and is the same for all elements.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths