Question

how much sugar can they create if 200 grams of carbon dioxide are used? 6 CO2 + 6 H2O right arrow C6H12O6 + 6 O2

Answer 1

So we know that the molar ration of carbon dioxide to sugar is 6:1 in the balanced equation, so we must first find how many moles of carbon dioxide 200g is.

The molar weight of carbon dioxide is 44.008g - found from the atomic weights of the elements on the periodic table.

So we must solve for moles:

$200g*\frac{1mol}{44.008g}=4.545mol$

So then we can set up a proportion to solve for how many moles of sugar were produced:

$\frac{1mol_{sugar}}{6mol_{CO_{2}}}= \frac{xmol_{sugar}}{4.545mol_{CO_{2}}}$

Then we solve for x:

$6x=4.545$

$x=0.7575$

So now we know that 0.7575 moles of sugar were produced. To convert to grams, we must know the molar weight of sugar:

$6(12.01g)+12(1.008g)+6(15.999g)=72.06g+12.096g+95.994g=180.15g$

So then we can solve for grams of sugar:

$\frac{180.15g}{1mol}*0.7575mol=136.46g_{sugar}$

Therefore we know you can make 136.46 grams of sugar when using 200 grams of carbon dioxide.