The given function is:
P = 120 i / (i^2 + i + 9)
or
P = 120 i (i^2 + i + 9)^-1
<span>The maxima point is obtained by taking the 1st
derivative of the function then equating dP / di = 0:</span>
dP / di = 120 (i^2
+ i + 9)^-1 + (-1) 120 i (i^2 + i + 9)^-2 (2i + 1)
setting dP / di =0 and multiplying whole equation by (i^2
+ i + 9)^2:
0 = 120 (i^2 + i + 9) – 120i (2i + 1)
Dividing further by 120 will yield:
i^2 + i + 9 – 2i^2 – i = 0
-i^2 + 9 =0
i^2 = 9
<span>i = 3 (ANSWER)</span>
Therefore P is a maximum when i = 3
Checking:
P = 120 * 3 / (3^2 + 3 + 9)
P = 17.14
Answer:
elements have the same number of valence electrons and similar chemical properties.
Explanation:
they have the same number
Answer:
110.25grams
Explanation:
The balanced chemical equation is as follows:
H2SO4 + 2NaOH → Na2SO4 + 2H20
Based on the balanced chemical equation of the reaction given above, 1 mole of sulphuric acid (H2SO4) is required to react with 2 moles of sodium hydroxide (NaOH).
Hence, if 1 mol of H2SO4 is needed to react with 2 moles of NaOH
Then, 2.25mol of NaOH will be required to react with;
= 2.25/2
= 1.125mol of H2SO4
Using the formula, mole = mass/molar mass, we can convert the molar value of H2SO4 to its mass value.
Molar mass of H2SO4 = 1(2) + 32 + 16(4)
= 2 + 32 + 64
= 34 + 64
= 98g/mol
Therefore, mole = mass/molar mass
1.125 = mass/98
mass = 98 × 1.125
mass = 110.25grams of H2SO4
Answer:
It is an saturated compound since there are no c-c double or tripple bonds.
Explanation:
If we had such double or tripple bonds the remaining o &H atoms cannot be accommodated to the carbon chain.
the carbon skeleton has (26×2)+6=58 valence electrons
O occupies 2 for each
18×2= 36
,58-36=22
only 22H can be directly bonded to the carbon skeleton.
remaining H= 14
therefore 7carbonyl carbon atoms will have to turn into carbinol carbon atoms .
so no space for c-c double bonds
There are 1739218 atoms in 2.5 mole of wolframite
