Question

volume of gas stp is 1.12*10-7 calculate no of molecules

Answer 1

Volume of gas stp is $1.12 \times 10^{-7}$ calculate no of molecules.

It is known that 1 mol of any gas has the volume of 22,4 litres upon standard conditions. The number of molecules is calculated by the following equation:

$$\mathrm{N} = \mathrm{v} \times \mathrm{N}_{\mathrm{a}},$$

where $\mathrm{N}_{\mathrm{a}}$ – is an Avogadro constant and equals $6,022 \times 10^{23} \, \mathrm{mol}^{-1}$. So, it means that 1 mol of any substance contains such number of elementary particles (molecules in our task).

Firstly, let’s calculate the number of moles of our gas by a simple proportion:

$$1 \, \mathrm{mol} \, \text{of gas} - 22,4 \, \text{litres}$$ $$\mathrm{X \, moles \, of \, gas} - 1.12 \times 10^{-7}$$

So, $\mathrm{X} = (1.12 \times 10^{-7} \times 1) / 22,4 = 5 \times 10^{-9} \, \mathrm{moles}$

Now we can calculate the number of molecules:

$$\mathrm{N} = 5 \times 10^{-9} \times 6,022 \times 10^{23} = 3,011 \times 10^{15}$$

Answer: total number of molecules in this gas upon stp is $3,011 \times 10^{15}$.

Remark: we assumed that given volume of gas was indicated in litres.

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