Answer: Thus 44 g of [tex]CO_2[/tex] will be produced if 30 g of [tex]C_6H_{12}O_6[/tex] were reacted with an excess of oxygen
Explanation:
To calculate the moles :
[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]
[tex]\text{Moles of} C_6H_{12}O_6 =\frac{30g}{180g/mol}=0.17moles[/tex]
The balanced chemical equation is:
[tex]C_6H_{12}O_6 +6O_2(g)\rightarrow 6CO_2+6H_2O(g)[/tex]
As [tex]C_6H_{12}O_6[/tex] is the limiting reagent as it limits the formation of product and [tex]O_2[/tex] is the excess reagent.
According to stoichiometry :
1 mole of [tex]C_6H_{12}O_6[/tex] produce = 6 moles of [tex]CO_2[/tex]
Thus 0.17 moles of [tex]C_6H_{12}O_6[/tex] will produce=[tex]\frac{6}{1}\times 0.17=1.0mole[/tex] of [tex]CO_2[/tex]
Mass of [tex]CO_2=moles\times {\text {Molar mass}}=1.0moles\times 44g/mol=44g[/tex]
Thus 44 g of [tex]CO_2[/tex] will be produced if 30 g of [tex]C_6H_{12}O_6[/tex] were reacted with an excess of oxygen.