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Avogadro's number represents the number of units in one mole of any substance. This has the value of 6.022 x 10^23 units / mole. This number can be used to convert the number of atoms or molecules into number of moles.

 6.89 × 10^25 molecules CO2 ( 1 mole /  6.022 x 10^23 molecules ) ( 44.01 g / mole ) = 5035.35 g CO2 = 5.035 kg CO2

Answer : The mass of [tex]CO_2[/tex] is, 5.034 Kg

Explanation :

First we have to calculate the moles of [tex]CO_2[/tex].

As, [tex]6.022\times 10^{23}[/tex] molecules of [tex]CO_2[/tex] present in 1 mole of [tex]CO_2[/tex]

So, [tex]6.89\times 10^{25}[/tex] molecules of [tex]CO_2[/tex] present in [tex]\frac{6.89\times 10^{25}}{6.022\times 10^{23}}=114.4[/tex] mole of [tex]CO_2[/tex]

Now we have to calculate the mass of [tex]CO_2[/tex].

[tex]\text{Mass of }CO_2=\text{Moles of }CO_2\times \text{Molar mass of }CO_2[/tex]

[tex]\text{Mass of }CO_2=114.4moles\times 44.01g/mole=5034.744g=5.034Kg[/tex]

Therefore, the mass of [tex]CO_2[/tex] is, 5.034 Kg