Here are the solutions to your questions:
8.1.1 Define a base in terms of the Lowry-Brønsted theory.
A base is a substance that acts as a proton acceptor.
8.1.2 Write down the NAME or FORMULA of the substance that acts as an ampholyte in the above equations. Give a reason for the answer.
Substance: HSO4− (Hydrogen sulfate ion)
Reason: In equation II, HSO4− donates a proton to H2O (acting as an acid). In the reverse of equation I, HSO4− accepts a proton from H3O+ to form H2SO4 (acting as a base).
8.2.1 Calculate the pH of this nitric acid solution.
Given: Concentration of HNO3=0.096mol\cdotdm−3.
HNO3 is a strong acid, so it dissociates completely:
HNO3(aq)+H2O(l)→H3O+(aq)+NO3−(aq)
Step 1: Determine the concentration of hydronium ions.
Since HNO3 is a strong acid, [H3O+]=[HNO3].
[H3O+]=0.096mol\cdotdm−3
Step 2: Calculate the pH.
pH=−log[H3O+]
pH=−log(0.096)
pH≈1.02
8.2.2 Calculate the concentration of the EXCESS HNO3 in the new solution.
Balanced equation: 2HNO3(aq)+Na2CO3(aq)→2NaNO3(aq)+CO2(g)+H2O(l)
Given:
Volume of HNO3 (VA) = 50cm3=0.050dm3
Concentration of HNO3 (CA) = 0.096mol\cdotdm−3
Volume of Na2CO3 (VB) = 25cm3=0.025dm3
Concentration of Na2CO3 (CB) = 0.075mol\cdotdm−3
Step 1: Calculate the initial moles of HNO3.
n(HNO3)initial=CA×VA
n(HNO3)initial=(0.096mol\cdotdm−3)×(0.050dm3)
n(HNO3)initial=0.0048 mol
Step 2: Calculate the initial moles of Na2CO3.
n(Na2CO3)initial=CB×VB
n(Na2CO3)initial=(0.075mol\cdotdm−3)×(0.025dm3)
n(Na2CO3)initial=0.001875 mol
Step 3: Determine the moles of HNO3 that react with Na2CO3.
From the balanced equation, the mole ratio HNO3:Na2CO3 is 2:1.
n(HNO3)reacted=2×n(Na2CO3)initial
n(HNO3)reacted=2×0.001875 mol
n(HNO3)reacted=0.00375 mol
Since n(HNO3)initial(0.0048mol)>n(HNO3)reacted(0.00375mol), HNO3 is in excess.
Step 4: Calculate the moles of excess HNO3.
n(HNO3)excess=n(HNO3)initial−n(HNO3)reacted
n(HNO3)excess=0.0048mol−0.00375 mol
n(HNO3)excess=0.00105 mol
Step 5: Calculate the total volume of the new solution.
Vtotal=VA+VB
Vtotal=0.050dm3+0.025dm3
Vtotal=0.075dm3
Step 6: Calculate the concentration of the excess HNO3.
C(HNO3)excess=Vtotaln(HNO3)excess
C(HNO3)excess=0.075dm30.00105mol
C(HNO_3)_{excess} = \text{0.014 mol\cdotdm^{-3}}
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