a. To balance the given reaction
(-)"H"_2"O"+ (-)"CO"_2+"Sunlight"->10"C"_6"H"_12"O"_6+ (-)"O"_2(−)H2O+(−)CO2+Sunlight→10C6H12O6+(−)O2
Let us write the balanced equation as
a"H"_2"O"+ b"CO"_2+"Sunlight"->10"C"_6"H"_12"O"_6+ c"O"_2aH2O+bCO2+Sunlight→10C6H12O6+cO2
By inspection, balancing "C"C on both sides of the reaction we obtain b=60b=60. The reaction becomes
a"H"_2"O"+ 60"CO"_2+"Sunlight"->10"C"_6"H"_12"O"_6+ c"O"_2aH2O+60CO2+Sunlight→10C6H12O6+cO2
Next let us balance "H"H. As there are 120 " atoms of H"120 atoms of H on right hand side of the reaction we obtain a=60a=60, Now the reaction becomes
60"H"_2"O"+ 60"CO"_2+"Sunlight"->10"C"_6"H"_12"O"_6+ c"O"_260H2O+60CO2+Sunlight→10C6H12O6+cO2
Now left is only "O"O. There are total 60+120=18060+120=180 atoms of oxygen on the left had side of the reaction. On the right had side we have
60+2c60+2c atoms, Equating both we get
60+2c=18060+2c=180
or c=(180-60)/2=60c=180−602=60. Thus we get the balanced reaction as
60"H"_2"O"+ 60"CO"_2+"Sunlight"->10"C"_6"H"_12"O"_6+ 60"O"_260H2O+60CO2+Sunlight→10C6H12O6+60O2
if we observe closely we see that number 1010 can be factored out from both sides of the reaction. Therefore, final balanced reaction can be written as
6"H"_2"O"+ 6"CO"_2+"Sunlight"->"C"_6"H"_12"O"_6+ 6"O"_26H2O+6CO2+Sunlight→C6H12O6+6O2
We know that the reaction represents the process of photosynthesis which takes place in plants, some algae and cyanobacteria.
Sometimes the reaction of photosynthesis is written as
12"H"_2"O"+ 6"CO"_2+"Sunlight"->"C"_6"H"_12"O"_6+6"H"_2"O"+ 6"O"_212H2O+6CO2+Sunlight→C6H12O6+6H2O+6O2
b. Like other endothermic reactions, photosynthesis does not absorb energy in the form of heat, therm is unit of heat. But there would no reaction in the absence of light energy.
In other words energy in the form of sunlight needs to be made available in order that photosynthesis reaction occurs. As such it should be called an endothermic reaction, though not in strict sense.
c. The sunlight energy is converted in to chemical energy which is stored in the form of glucose molecules.