what is the mass (in kg) of 6.89 × 1025 molecules of co2? the molar mass of co2 is 44.01 g/mol.
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