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# The volume of gas at STP is $1.12 \times {10^{ - 7}}$ cc. Calculate the number of a molecule in it? $\begin{gathered}A.3.01 \times {10^{20}} \\B.3.01 \times {10^{12}} \\C.3.01 \times {10^{23}} \\D.3.01 \times {10^{24}} \\ \end{gathered}$

Last updated date: 12th Sep 2024
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Hint :For any given ideal gas, one mole of ideal gas occupies $22.4litres$ of volume at STP. STP is the standard reference point of temperature $(273.15k{\text{ or }}{{\text{0}}^ \circ }C)$ and pressure $(1atm{\text{ or 1}}{{\text{0}}^5}pascals)$ used when measuring gases.
$1{\text{ }}mole = 6.022 \times {10^{23}}molecules$
$mole = \dfrac{{volume}}{{22.4L}}$

Complete Step By Step Answer:
When we are given volume, we can convert it into a number of moles present. This helps us to calculate the number of moles.
$1l = 1000cc$
To find mole, the formula is $mole = \dfrac{{volume}}{{22.4L}}$
Mole $1l = 1000cc$
$mole = \dfrac{{1.12 \times {{10}^{ - 7}} \times {{10}^3}}}{{22.4L}}$
So the number of moles will be:
$\begin{gathered} mole = 0.05 \times {10^{ - 4}} \\ = 0.05 \times {10^{ - 4}} \times 6.022 \times {10^{23}}molecules \\ \end{gathered}$ 
$= 3.01 \times {10^{20}}$ molecules.
The molecules are $= 3.01 \times {10^{20}}$ molecules.

The two important concepts of science are the mole and Avogadro ’s number that provides a link between the different properties of separate atoms. The number of atoms or other particles in a mole is the same for all the substances. Moles in general is related to the elements mass. We can say that one mole of carbon $- 12$ atoms have $6.02214076 \times {10^{23}}$ atoms and a mass of 12gram. In comparison to one mole of chlorine, by definition, of the same number of atoms as carbon $- 12$ ,but it has a mass of $35.453$ u. When we are given volume, we can convert it into a number of moles present. This helps us to calculate the number of moles. one mole of ideal gas occupies $22.4litres$ of volume at STP. STP is the standard reference point of temperature $(273.15k{\text{ or }}{{\text{0}}^ \circ }C)$ and pressure $(1atm{\text{ or 1}}{{\text{0}}^5}pascals)$ used when measuring gas.