A certain waterfall is 118.7 m high and has water flow rate of 30.2 m3 /s. The acceleration of gravity is 9.8 m/s 2 . Find the maximum electric power that can be generated by these falls assuming 100% conversion of mechanical energy to electric energy. (Take the density of water to be 1.00 × 103 kg/m 3 )

Explanation:

Relation between velocity, mass and acceleration due to gravity is as follows.

               v = mgh

Also, we know that

or,               mass =

                            =

And,    

                       =

                       =

Formula to calculate power is as follows.

       Power = =

                   =                

                   =

Thus, we can conclude that the maximum electric power that can be generated by these falls assuming 100% conversion of mechanical energy to electric energy is .

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz