How many grams of CO2 does a plant use to make 100.0 g of sugar(C12H22O11)?
well,
moles Sugar=100/molmassSugar=100/342 moles
moles of CO2=12*molesSugar=1200/342
grams CO2=1200/342 * molmassCO2
and you can calulate that.
To figure out how many grams of CO2 a plant uses to make 100.0 g of sugar (C12H22O11), we need to consider the molecular formula of sugar and its relationship with carbon dioxide during photosynthesis.
Firstly, we should identify the ratio of carbon atoms in sugar (C12H22O11) to the carbon atoms in carbon dioxide (CO2). By looking at the molecular formula, we see that sugar has 12 carbon atoms and carbon dioxide has only one carbon atom. This means that for every molecule of sugar produced, 12 molecules of carbon dioxide are required.
We can calculate the molecular weight of carbon dioxide (CO2) and sugar (C12H22O11) to determine the quantity of CO2 in grams needed to produce 100.0 g of sugar.
The molecular weight of carbon dioxide (CO2) is calculated as:
1 * Atomic weight of carbon (C) + 2 * Atomic weight of oxygen (O)
= 1 * 12.01 g/mol + 2 * 16.00 g/mol
= 12.01 g/mol + 32.00 g/mol
= 44.01 g/mol
The molecular weight of sugar (C12H22O11) is calculated as:
12 * Atomic weight of carbon (C) + 22 * Atomic weight of hydrogen (H) + 11 * Atomic weight of oxygen (O)
= 12 * 12.01 g/mol + 22 * 1.01 g/mol + 11 * 16.00 g/mol
= 144.12 g/mol + 22.22 g/mol + 176.00 g/mol
= 342.34 g/mol
Now, we can determine the number of moles of sugar in 100.0 g by dividing its mass by the molar mass:
moles of sugar = mass of sugar / molar mass of sugar
= 100.0 g / 342.34 g/mol
= 0.292 moles
Since 1 mole of sugar requires 12 moles of carbon dioxide, we can multiply the moles of sugar by the ratio to find the moles of carbon dioxide used:
moles of CO2 = moles of sugar * (12 moles CO2 / 1 mole sugar)
= 0.292 moles * (12 moles CO2 / 1 mole sugar)
= 3.504 moles
Finally, we convert the moles of CO2 to grams by multiplying by the molar mass of carbon dioxide:
mass of CO2 = moles of CO2 * molar mass of CO2
= 3.504 moles * 44.01 g/mol
= 154.27 grams
Therefore, to make 100.0 g of sugar (C12H22O11), a plant would require approximately 154.27 grams of carbon dioxide (CO2).