Solve the following problems, and answer the related questio

Solve the following problems, and answer the related questions. Show work for partial credit.1. [20 pts] A lake has an input of 1 g P m-2 yr-1.Assuming that all the P is used to create algal biomass which is 50% Cby weight and has a Redfield molar ratio of 106:16:1 (C:N:P),a) how much biomass (dry weight m-2 yr-1) could be supported in this lake?b) how much N (g m-2 yr-1) is also required to support this amount of algal biomass?2. [30 pts] To fully denitrify 1000 gallons of water with a nitrate-N concentration of 17 mg N l-1 …a) how many grams of glucose would it take?b) how many moles of methanol would be required?c) how many moles of sulfide would be required?