Answer:
The mole fractions:




Explanation:
The reaction described is:

The limiting reactant is the HBr (oxygen is in excess).
a) The mass (in moles) balance for this sistem:
(the 0.78 is because of the fractional conversion)

(the 1.25 is because of the oxygen excess)
There is only one degree of freedom in this sistem, you can either deffine the moles of HBr you have or the moles of Br2 you want to produce. The other variables are all linked by the equations above.
b) Base of calculation 100 mol of HBr:




The mole fractions:




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Answer:
(1) The two column proof is presented here as follows;
Statement
Reasons
1. C is the midpoint of
Given
B is the midpoint of
D is the midpoint of
2. AC = CE, AB = BC, CD = DE
Definition of midpoint
3. AB + BC = AC, CD + DE = CE
Segment addition postulate
4. CD + DE = AC
Substitution property of equality
5. AB + BC = CD + DE
Substitution property of equality
6. BC + BC = CD + CD
Substitution property of equality
7. 2·BC = 2·CD
Addition of two identical quantities
8. BC = CD
Division property of equality
9. BC ≅ CD
Definition of Congruence
(2) The two column proof for the triangular geometric figure is presented here as follows;
Statement
Reasons
1. 2·WV = XY; 2·YZ = XW; WV = YZ
Given
2. 2·WV = 2·YZ
Multiplication property
3. XY = XW
Substitution Property
4. XW + WV = XV
Segment Addition Property
XY + YZ = XZ
5. XW + WV = XV
Substitution Property
XW + WV = XZ
6. XV = XZ
Substitution Property
Explanation:
Using the pH=-log[ hydrogen ions], assuming the pH of water is 7 then using the concept that kw=[ OH] [H+], then the [H+]= 10 power minus 7,since kw=10 to the power minus 14