On average, a tree produces 118 kilograms of oxygen a year. how many molecules of carbon dioxide must a tree take in each year in order to accomplish this? (don't forget to convert kilograms to grams)

a. 1.23 x 1032
b. 2.22 x 1027
c. 3.24 x 1029
d. 3688.9

1. no. of moles of Oxygen = 3687.5 mol

2. amount of CO₂ taken = 3687.5 moles

3. Option B is correct = 2.22 x 10²⁷

Explanation:

Data Given:

Amount of O₂ = 118 Kg

moles of O₂ = ?

no. of molecules of CO₂ = ?

Solution:

First we have to convert Kg to g

Convert unit from Kg to g

1 Kg = 1000 g

118 Kg = 118 x 1000 = 118000 g

Now we will find number of moles of O₂

Mole formula will be used

           no. of moles = mass in grams/ molar mass

molar mass of O₂ = 2(16) = 32 g/mol

Put values in mole formula

          no. of moles = 118000 g/ 32 g/mol

          no. of moles = 3687.5 mol

So we have  3687.5 moles of Oxygen

Part 2:

Now we have to find moles of CO₂ taken by plant to to produce 3687.5 moles of Oxygen

First we will look for the reaction by

            6 CO₂ + 6 H₂O > 6 C₆H₆O₆ + 6 O₂

So,

           6 CO₂ + 6 H₂O > 6 C₆H₆O₆ + 6 O₂

           6 mole                                                 6 mole

So from the above reaction we come to know that 6 moles of CO₂ will be taken to produce 6 moles of O₂

As we Know,

         6 moles of CO₂ ≅ 6 moles of O₂

So,

        3687.5 moles of CO₂ ≅ 3687.5 moles of O₂

So amount of CO₂ taken = 3687.5 moles

Part 3

Now we will find number of molecules of CO₂

Mole formula will be used

           no. of moles = no. of molecules / Avogadro's number

Rearrange the above formula

          no. of molecules =  no. of moles x Avogadro's number . . . . . (1)

Avogadro's number = 6.022 x 10²³

Put values in mole formula (1)

          no. of molecules =  3687.5 moles x 6.022 x 10²³

           no. of molecules =  2.22 x 10²⁷

So ,

Option B is correct = 2.22 x 10²⁷

explanation:

the largest database of organic compounds lists about 10 million substances, which include compounds originating from living organisms and those synthesized by chemists. the number of potential organic compounds has been estimated at 1060—an astronomically high number. the existence of so many organic molecules is a consequence of the ability of carbon atoms to form up to four strong bonds to other carbon atoms, resulting in chains and rings of many different sizes, shapes, and complexities. the simplest organic compounds contain only the elements carbon and hydrogen, and are called hydrocarbons. even though they are composed of only two types of atoms, there is a wide variety of hydrocarbons because they may consist of varying lengths of chains, branched chains, and rings of carbon atoms, or combinations of these structures. in addition, hydrocarbons may differ in the types of carbon-carbon bonds present in their molecules. many hydrocarbons are found in plants, animals, and their fossils; other hydrocarbons have been prepared in the laboratory. we use hydrocarbons every day, mainly as fuels, such as natural gas, acetylene, propane, butane, and the principal components of gasoline, diesel fuel, and heating oil. the familiar plastics polyethylene, polypropylene, and polystyrene are also hydrocarbons. we can distinguish several types of hydrocarbons by differences in the bonding between carbon atoms. this leads to differences in geometries and in the hybridization of the carbon orbitals.