Here are the solutions to your questions:
7.1 Define the term weak base.
A weak base is a base that partially ionizes in an aqueous solution, meaning it does not fully dissociate to produce hydroxide ions.
7.2 Write down the formula of the conjugate acid of the carbonate ion, CO32−(aq).
When the carbonate ion (CO32−) accepts a proton (H+), it forms its conjugate acid.
HCO3−
7.3 Determine the value of:
7.3.1 p
Step 1: Use the formula: Volume used = Final burette reading - Initial burette reading.
20.05cm3=p−6.5cm3
Step 2: Solve for p.
p=20.05cm3+6.5cm3
p = \text{26.55 cm^3}
7.3.2 q
Step 1: Use the formula: Volume used = Final burette reading - Initial burette reading.
20.15cm3=48.3cm3−q
Step 2: Solve for q.
q=48.3cm3−20.15cm3
q = \text{28.15 cm^3}
7.4 METHYL ORANGE is used as the indicator. Explain why methyl orange is the most suitable indicator for this titration by referring to the pH at the equivalence point.
The titration involves a strong acid (HCl) and a weak base (K2CO3). At the equivalence point of such a titration, the resulting solution will be acidic (pH < 7). Methyl orange changes color in the pH range of 3.1 to 4.4, which is suitable for detecting the equivalence point in an acidic medium.
7.5 Calculate the concentration of the K2CO3 solution.
Given:
Concentration of HCl (CA) = 0.1mol\cdotdm−3
Volume of HCl (VA) = 25cm3=0.025dm3
Balanced equation: K2CO3(aq)+2HCl(aq)→2KCl(aq)+CO2(g)+H2O(l)
Mole ratio K2CO3:HCl is nB:nA=1:2.
Step 1: Calculate the average volume of K2CO3 (VB) used.
VB=220.05cm3+20.15cm3=240.20cm3=20.10cm3
Convert to dm3: VB=20.10cm3×1000cm31dm3=0.02010dm3.
Step 2: Use the titration formula nACAVA=nBCBVB to find CB.
2(0.1mol\cdotdm−3)(0.025dm3)=1CB(0.02010dm3)
Step 3: Solve for CB.
0.00125=CB(0.02010)
CB=0.020100.00125
CB≈0.062189mol\cdotdm−3
The concentration of the K2CO3 solution is 0.0622mol\cdotdm−3.
7.6 Calculate the value of x in the formula K2CO3⋅xH2O.
The solution from 7.5 was prepared by dissolving 6.525 g of K2CO3⋅xH2O in 600cm3 (0.600dm3) water.
Concentration of K2CO3 (CB) = 0.062189mol\cdotdm−3 (from 7.5).
Step 1: Calculate the moles of anhydrous K2CO3 in the 600cm3 solution.
Moles of K2CO3=CB×Volume of solution
Moles of K2CO3=0.062189mol\cdotdm−3×0.600dm3
Moles of K2CO3=0.0373134 mol
Step 2: Calculate the molar mass of anhydrous K2CO3.
M(K2CO3)=2(39.10)+12.01+3(16.00)=78.20+12.01+48.00=138.21 g/mol
Step 3: Calculate the mass of anhydrous K2CO3 in the 6.525 g sample.
Mass of K2CO3=MolesofK2CO3×M(K2CO3)
Mass of K2CO3=0.0373134mol×138.21g/mol=5.1569 g
Step 4: Calculate the mass of water in the hydrated sample.
Mass of H2O=Totalmassofhydratedsalt−MassofK2CO3
Mass of H2O=6.525g−5.1569g=1.3681 g
Step 5: Calculate the moles of water.
M(H2O)=2(1.01)+16.00=18.02 g/mol
Moles of H2O=M(H2O)MassofH2O=18.02g/mol1.3681g=0.07592 mol
Step 6: Determine the value of x.
x=MolesofK2CO3MolesofH2O
x=0.0373134mol0.07592mol≈2.034
Rounding to the nearest whole number, the value of x is 2.
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