Respuesta :
The balanced chemical reaction will be:
C4H8 + 6 O2 --> 4 CO2 + 4 H2O
We are given the amount of butene being combusted. This will be our starting point.
136.6 g C4H8 (1 mol C4H8/ 56.11 g C4H8) (4 mol CO2/1 mol C4H8) ( 44.01 g CO2/ 1 mol CO2) = 428.6 g CO2Answer : The mass of [tex]CO_2[/tex] produced will be, 429.264 grams
Explanation : Given,
Mass of [tex]C_4H_8[/tex] = 136.6 g
Molar mass of [tex]C_4H_8[/tex] = 56 g/mole
Molar mass of [tex]CO_2[/tex] = 44 g/mole
First we have to calculate the moles of [tex]C_4H_8[/tex].
[tex]\text{Moles of }C_4H_8=\frac{\text{Mass of }C_4H_8}{\text{Molar mass of }C_4H_8}=\frac{136.6g}{56g/mole}=2.439moles[/tex]
Now we have to calculate the moles of [tex]CO_2[/tex].
The balanced chemical reaction is,
[tex]C_4H_8+6O_2\rightarrow 4CO_2+4H_2O[/tex]
From the balanced reaction we conclude that
As, 1 mole of [tex]C_4H_8[/tex] react to give 4 moles of [tex]CO_2[/tex]
So, 2.439 moles of [tex]C_4H_8[/tex] react to give [tex]\frac{4}{1}\times 2.439=9.756[/tex] moles 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=(9.756mole)\times (44g/mole)=429.264g[/tex]
Therefore, the mass of [tex]CO_2[/tex] produced will be, 429.264 grams.