Respuesta :

The formula of number of moles is:

[tex]number of moles = \frac{mass of compound or element}{Molar mass of compound/element}[/tex]     -(1)

Mass of [tex]CO_2[/tex] = 440 mg  (given)

Since, 1 mg = 0.001 g

So, 440 mg = 0.44 g

Molar mass of [tex]CO_2[/tex] = [tex]12+ 2 \times 16 = 44 g/mol[/tex]

Substituting the values in formula (1):

Number of moles of [tex]CO_2[/tex] = [tex]\frac{0.44 g}{44 g/mol} = 0.01 mole[/tex]

Since, in 1 mole of [tex]CO_2[/tex] there is 1 mole of [tex]C[/tex].

So, number of moles of [tex]C[/tex] in 0.01 mole of [tex]CO_2[/tex] is 0.01 mole.

Hence, the number of moles of [tex]C[/tex] in 440 mg of [tex]CO_2[/tex] is 0.01 mole.

Solution:

According to the Mole-mass conversions....

Since Mass of   = 440 mg (given)  

440 mg of CO2 x (1g / 1000 mg) x (1 mole of CO2 / 44.0g of CO2) x (1 mole C / 1 mole of CO2)  

= 0.010 mole C

This is the required solution of the mole-mass conversion.