Web Analytics

Verified Answer :

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 \(CO_2\) is, 5.034 Kg

Explanation :

First we have to calculate the moles of \(CO_2\).

As, \(6.022\times 10^{23}\) molecules of \(CO_2\) present in 1 mole of \(CO_2\)

So, \(6.89\times 10^{25}\) molecules of \(CO_2\) present in \(\frac{6.89\times 10^{25}}{6.022\times 10^{23}}=114.4\) mole of \(CO_2\)

Now we have to calculate the mass of \(CO_2\).

\(\text{Mass of }CO_2=\text{Moles of }CO_2\times \text{Molar mass of }CO_2\)

\(\text{Mass of }CO_2=114.4moles\times 44.01g/mole=5034.744g=5.034Kg\)

Therefore, the mass of \(CO_2\) is, 5.034 Kg