Question

Given the thermochemical equation for photosynthesis, 6CO2(g) + 6H2O(l) → C6H12O6(s) + 6O2(g) ΔH = +2803 kJ/mol Calculate the mass (in grams) of O2 that is produced by photosynthesis when 40400 kJ of solar energy is consumed.

Answer 1

Answer : The mass of $O_2$ produced by photosynthesis is $2.77\times 10^3g$

Explanation :

The given chemical reaction is:

$6CO_2(g)+6H_2O(l)\rightarrow C_6H_{12}O_6(s)+6O_2(g)$

From the balanced chemical reaction we conclude that,

As, 2803 kJ of heat produced from 6 moles of $O_2$

Or, 2803 kJ of heat produced from $6\times 32=192g$ of $O_2$

So, 40400 kJ of heat produced from $\frac{40400}{2803}\times 192=2767.32g=2.77\times 10^3g$ of $O_2$

Therefore, the mass of $O_2$ produced by photosynthesis is $2.77\times 10^3g$