b. If on average 500 moles of glucose are synthesized by a tree each day, how many moles of CO2 can a single tree convert to glucose in a single day

3000 moles of CO2.

Explanation:

We'll begin by writing the balanced equation indicating the conversion of CO2 to glucose. This can be obtained as follow:

6CO2 + 6H2O —> C6H12O6 + 6O2

From the balanced equation above,

6 moles of CO2 is converted to 1 mole of C6H12O6.

Finally, we shall determine the number of moles of CO2, needed to produce 500 moles. This can be obtained as follow:

From the balanced equation above,

6 moles of CO2 is converted to 1 mole of C6H12O6.

Therefore, Xmol of CO2 will be converted to 500 moles of C6H12O6 i.e

Xmol of CO2 = 6 × 500

Xmol of CO2 = 3000 moles

Thus, a tree will convert 3000 moles of CO2 to 500 moles of glucose, C6H12O6 in a day.