Answer:
[tex]\mathtt{The \ efficiency \ of \ photosynthesis =1.08 \%}[/tex]
Explanation:
Given that:
the quantity of solar radiation = 7,000,000cal/m²/day
The producers' gross productivity in the salt marsh (mostly microscopic algae) is 0.0040 g/cm²/day.
= 0.004 × 2920 cal × 10000 m²/ day
= 116800 cal/m²/day
The respiration requirement is 35% of the gross primary productivity.
i.e 35% of 116800 calories/m²/day
=[tex]\dfrac{ 35}{ 100 }\times 116800[/tex] calories/m²/day
= 40880 calories/m²/day
The Net primary productivity NPP = Gross productivity - Respiration requirement
=( 116800 - 40880) calories/m²/day
= 75920 calories/m²/day
We can calculate the efficiency of photosynthesis by using the formula:
[tex]\mathtt{The \ efficiency \ of \ photosynthesis = \dfrac{ Net \ primary \ productivity \ NPP}{quantity \ of \ solar \ radation} \times 100\%}[/tex]
[tex]\mathtt{The \ efficiency \ of \ photosynthesis = \dfrac{ 75920 \ cal/m^2/day}{7000000 \ cal/m^2/day} \times 100\%}[/tex]
[tex]\mathtt{The \ efficiency \ of \ photosynthesis =1.08 \%}[/tex]