
Concept explainers
(a)
Interpretation:
The structure formula of CH3SO2F has to be drawn. The geometry around the S atom has to be stated. The bond angles O−S−O and O−S−F has to be stated.
Concept Introduction:
The molecular shape is determined primarily by the repulsions between pairs of electrons in the molecule or molecular ion, be they bonding pairs or lone pairs by the theory of the valence-shell-electron-pair repulsion (VSEPR). The specific sets of bond pairs and lone pairs of electrons give different molecular shape to molecules.
(a)

Explanation of Solution
The given compound is CH3SO2F. In CH3SO2F, the sulfur is the center atom. The sulfur atom is attached to the two oxygen, a fluorine atom, and methyl group.
Therefore, the structure formula of CH3SO2F is shown below.
Figure 1
The number of ligands around sulfur atom of the molecule is 4.
The number of lone pairs on sulfur atom of the molecule is 0.
The formula to calculate number of sets of electron pairs is shown below.
N=Nligand+Nlone pair
Where,
- N is number of sets of electron pairs.
- Nligand is the number of ligands around the chromium atom of the molecule.
- Nlone pair is number of lone pairs on the chromium atom of the molecule.
Substitute the values of Nligand and Nlone pair in the above equation.
N=4+0=4
When number of sets of electron pairs is 4, then the four orbital are required. Therefore, the hybridization of inner atom of the molecule is sp3. The corresponding geometery will be tetrahedral.
The bond angle for tetrahedral geometry is 109.5°. Therefore, the bond angles O−S−O and O−S−F are apporximatly 109.5°_.
(b)
Interpretation:
The mass of HF required to electrolyze 150 g CH3SO2F has to be calculated. The mass of each product has to be calculated.
Concept Introduction:
The stoichiometry of a chemical species involved in a
(b)

Explanation of Solution
The given mass of CH3SO2F is 150 g.
The molar mass of CH3SO2F is 98.09 g/mol.
The molar mass of HF is 20.01 g/mol.
The number of moles a substance is given by the formula as shown below.
n=mM
Where,
- m is the mass of the substance.
- M is the molar mass of the substance.
Substitute the value of mass and molar mass of CH3SO2F in the above equation.
n=150 g98.09 g/mol=1.53 mol
The given reaction is shown below.
CH3SO2F+3HF→CF3SO2F+3H2
Three moles of HF reacts with one mole of CH3SO2F. Therefore, the relation between the number of moles of HF and CH3SO2F is given by the expression as shown below.
nHF=3nCH3SO2F
Where,
- nHF is the number of moles of HF.
- nCH3SO2F is the number of moles of CH3SO2F.
Substitute the value of nCH3SO2F in the above equation.
nHF=3(1.53 mol)=4.59 mol
The relation between number of moles and mass of a substance is given by the expression as shown below.
m=n×M (1)
Where,
- m is the mass of the substance.
- n is the number of moles of the substance.
Substitute the value of number of moles and molar mass of HF in the above equation.
m=(4.59 mol)×(20.01 g/mol)=91.84 g_
Therefore, the mass of HF required to electrolyze 150 g CH3SO2F is 91.84 g_.
The molar mass of H2 is 2.016 g/mol.
Three moles of H2 produced by one mole of CH3SO2F. Therefore, the relation between the number of moles of H2 and CH3SO2F is given by the expression as shown below.
nH2=3nCH3SO2F
Where,
- nH2 is the number of moles of H2.
- nCH3SO2F is the number of moles of CH3SO2F.
Substitute the value of nCH3SO2F in the above equation.
nHF=3(1.53 mol)=4.59 mol
Substitute the value of number of moles and molar mass of H2 in the equation (1).
m=(4.59 mol)×(2.016 g/mol)=9.25 g_
Therefore, the mass of H2 produced by 150 g CH3SO2F is 9.25 g_.
One
The molar mass of CF3SO2F is 282.13 g/mol.
One mole of CF3SO2F produced by one mole of CH3SO2F. Therefore, 1.53 mol of CF3SO2F produced by 1.53 mol of CH3SO2F.
Substitute the value of number of moles and molar mass of CF3SO2F in the equation (1).
m=(1.53 mol)×(282.13 g/mol)=431.66 g_
Therefore, the mass of CF3SO2F produced by 150 g CH3SO2F is 431.66 g_.
(c)
Interpretation:
Whether the hydrogen gas is produced at anode or cathode of the
Concept Introduction:
A reducing agent is a reacting species in the reaction that reduces another reacting species. A reducing agent itself gets oxidized when reacts with another species. The reducing agent donates electrons. An oxidizing agent is a reacting species in the reaction that oxidize another reacting species. An oxidizing agent itself gets reduced when it reacts with another species. The oxidizing agent accepts electrons.
(c)

Explanation of Solution
The given reaction is shown below.
CH3SO2F+3HF→CF3SO2F+3H2
The reduction of hydrogen ion is shown below.
H+(aq)+e−→H2(g)
Hydrogen has been reduced in the reaction. The reduction takes place at cathode. Therefore, H2 is produced at the cathode.
(d)
Interpretation:
The amount of energy transfer in the cell at 250 A and 8 V for 24 h has to be calculated.
Concept Introduction:
During a
(d)

Explanation of Solution
The cell potential is 8 V.
The unit conversion of cell potential from V to J/C is shown below.
Cell potential=(8 V)(1 J/C1 V)=8 J/C
The current pass through the cell is 250 A.
The unit conversion of current from A to C/s is shown below.
Current=(250 A)(1 C/s1 A)=250 C/s
The time of current flow is 24 h.
The unit conversion of time from h to s is shown below.
Time=(24 h)(60 s1 h)=1440 s
The energy of the cell is calculated by the formula shown below.
Energy=Cell potential×Current×Time
Substitute the value of cell potential, current, and time in the above equation.
Energy=(8 J/C)×(250 C/s)×(1440 s)=2.88×106 J
The unit conversion of energy from J to kWh is shown below.
Energy=(2.88×106 J)(1 kWh3.60×106 J)=0.8 kWh_
Therefore, the amount of energy transfer in the cell at 250 A and 8 V for 24 h is 0.8 kWh_.
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