Any number of green plants can photosynthesize glucose (C_6H_12O_4) from carbon

Question

Any number of green plants can photosynthesize glucose (C_6H_12O_4) from carbon dioxide and water, producing oxygen as the remaining product. In an experiment in a biochemistry lab, 0.917 grams of glucose was produced in such an experiment. Calculate the volume of oxygen produced if it was collected over water at 42.0 degree C and at a pressure of 736 Torr. The vapor pressure of water at 42.0degreeC is approximately 0.0987 atmospheres. Also, many grams of carbon dioxide were used in this biosynthesis?

Explanation / Answer

6. Reaction of photosynthesis of glucose:

                             6 H2O + 6 CO2 ------> C6H12O6 + 6 O2

Number of moles of oxygen produced, according to the balanced equation:

Number of moles of oxygen = 0.917g glucose*6mol O2/1mol glucose*1mol glucose/190.1 glucose

                                          = 2.894 x 10-2 mol O2

Number of moles of oxygen produced n = 2.894 x 10-2

Total pressure = 736torr or 0.968421 atm

Vapour pressure of H2O = 0.0987atm

O2 pressure = 0.968421 – 0.0987 = 0.8697 atm

R = 0.08206 Latm mol-1K-1

Temperature = 42°C = 315 K

We know that PV = n RT

Volume V = nRT/ P

                   = (2.894 x 10-2*0.08206 * 315)/ 0.8697

                 = 0.74806717/ 0.8697

     Volume of O2 = 0.8601 L or 860.1 ml

Amount of CO2 used in reaction = 2.894 x 10-2 mol O2 *(6 molCO2/6mol O2)*(44 g of CO2/ 1 mol CO2)

                                                   = 1.273 gm CO2

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