Photosysthesis si a bio process by which plants make energy rich molecules from low energy molecules with the help of energy from sunlight . The photosysthesis of glucose can be represented as:
`6CO_(2(g))+ 6H_(2)O_(g) + hv rarr C_(5)H_(12)O_(6(s)) + 6O_(2)(g)..........(i)`
The energy of one mole of a photon of wave lenght is known as one Einstein.
A glucose fuel cell was designed to generate 4000 Watts which was used to heat of `5mxx 5mxx 3m` dimensions . The room is perfectly insulated and no heat flows out of the room Calculate the time needed to increase the temperature of the room by `20^(@)C` , if the room was initially at `10^(@)C` and 1 atm pressure . Assume that the air in the room behaves like an ideal gas and its molar heat capacity is 2.5R.

Answer

Heat required `=nSDeltaT`
`=3228 xx 2.5 xx 8.314 xx 10`
`=670936.94 J therefore time required =(670936.94)/(4000) =167.7` sec