A laboratory manual gave precise instructions for carrying out the reaction described by the chemical equation, C2H6O + O2 C2H4O
2 + H2O. It stated that if you bubble oxygen gas through a solution containing the reactant for 24 hours then the yield of C2H4O2 would be 7.50% of the theoretical amount. If you desire to produce 700. grams of the C2H4O2 in a single batch, how many kg of C2H6O should you begin with?
using the molar masses:- 24+ 6 + 16 g of C2H6O produces 24 + 4 + 32 g C2H4O2 (theoretical) 46 g produces 60g
60 g C2H4O2 is produced from 46g C2H6O 1g . .................................46/60 g 700g ................................. (46/60) * 700 Theoretically
But as the yield is only 7.5%
the required amount is ((46/60) * 700 ) / 0.075 = 7155.56 g
The laser pulse in this question has a wavelength of . To solve this problem, we first have to calculate the energy of a single photon in the laser pulse. The equation for calculating the energy of a single photon of an electromagnetic wave is where is the speed of light, is planks constant and is the wave length of the photons.
For this problem, , and . We use these values to calculate the energy of the photon as shown below,
Now that we know the energy for a single photon, we will divide the total energy given by the energy of one photon to get the number of photons in the pulse. The number of photons is calculated as shown below,