Question

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

Answer 1

Answer : The mass of
`CO_2` is, 5.034 Kg

Explanation :

First we have to calculate the moles of
`CO_2`.

As,
`6.022* 10^(23)` molecules of
`CO_2` present in 1 mole of
`CO_2`

So,
`6.89* 10^(25)` molecules of
`CO_2` present in
`(6.89* 10^(25))/(6.022* 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* \text{Molar mass of }CO_2`

`\text{Mass of }CO_2=114.4moles* 44.01g/mole=5034.744g=5.034Kg`

Therefore, the mass of
`CO_2` is, 5.034 Kg

Answer 2

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