You're on a roll — let's tackle these questions, Ignatius.
Question 17
What is meant by the term enthalpy of neutralisation?
The enthalpy of neutralisation is the heat energy released when one mole of water is formed from the reaction of an acid with a base under standard conditions.
i) Write an equation for the reaction that occurred.
The reaction is between sulfuric acid (H2SO4) and sodium hydroxide (NaOH).
H2SO4(aq)+2NaOH(aq)⟶Na2SO4(aq)+2H2O(l)
ii) Calculate the enthalpy of neutralisation of sodium hydroxide (specific heat capacity of solution = 4.2Jg−1K−1, density of water = 1gcm−3).
Step 1: Calculate the moles of reactants.
Moles of H2SO4:
Moles=Concentration×Volume=1M×100050L=0.050 mol
Moles of NaOH:
Moles=Concentration×Volume=2M×100050L=0.100 mol
Step 2: Determine the limiting reactant and moles of water formed.
From the balanced equation, 1molofH2SO4 reacts with 2 mol of NaOH to produce 2molofH2O.
If 0.050molofH2SO4 reacts, it would require 2×0.050=0.100 mol of NaOH.
Since we have exactly 0.100 mol of NaOH, both reactants are completely consumed.
The moles of water formed will be 2×0.050mol=0.100 mol.
Step 3: Calculate the total mass of the solution.
Total volume of solution = 50cm3(H2SO4)+50cm3(NaOH)=100cm3.
Assuming the density of the solution is 1gcm−3:
Mass of solution=Volume×Density=100cm3×1gcm−3=100 g
Step 4: Calculate the heat absorbed by the solution (q).
Given ΔT=13.6∘C (or 13.6 K) and specific heat capacity (c) = 4.2Jg−1K−1.
q=mcΔT
q=100g×4.2Jg−1K−1×13.6 K
q=5712 J
Convert to kilojoules:
q=10005712kJ=5.712 kJ
Step 5: Calculate the enthalpy of neutralisation (ΔHneut).
Since heat is released (temperature rose), ΔH is negative.
ΔHneut=−MolesofwaterformedHeatreleased
ΔHneut=−0.100mol5.712kJ
\Delta H_{neut} = -57.12 \text{ kJ mol^{-1}}
Question 18
i) What does point S represent?
Point S represents the equivalence point (or neutralization point) of the reaction, where the acid and base have completely reacted with each other, and the maximum temperature of the solution is reached.
ii) Why does the temperature rise from R to S?
The temperature rises from R to S because the reaction between HCl (acid) and NaOH (base) is an exothermic reaction. As more NaOH is added, more heat is released, causing the temperature of the solution to increase until the equivalence point (S) is reached.
iii) Determine the molarity of the HCl acid.
Step 1: Identify the volume of NaOH at point S.
From the graph, point S occurs when 15cm3 of NaOH has been added.
Step 2: Write the balanced chemical equation.
The reaction is between HCl and NaOH:
HCl(aq)+NaOH(aq)⟶NaCl(aq)+H2O(l)
The mole ratio of HCl to NaOH is 1:1.
Step 3: Calculate the moles of NaOH at the equivalence point.
Given concentration of NaOH=0.5 M and volume = 15cm3.
Moles of NaOH=Concentration×Volume
Moles of NaOH=0.5M×100015L=0.0075 mol
Step 4: Calculate the moles of HCl.
Since the mole ratio is 1:1, at the equivalence point:
Moles of HCl=MolesofNaOH=0.0075 mol
Step 5: Calculate the molarity of HCl.
Given volume of HCl=20cm3.
Molarity of HCl=VolumeofHClMolesofHCl
Molarity of HCl=100020L0.0075mol=0.020L0.0075mol
Molarity of HCl=0.375 M
Question 19
a) Give the name of H2.
The name of H2 is hydrogen gas (or simply hydrogen).
b) Determine the value of ΔH3.
Step 1: Apply Hess's Law to the energy cycle.
Hess's Law states that the total enthalpy change for a reaction is independent of the pathway taken.
From the diagram, the direct path from H2(g)+O2(g) to H2O2(l) is ΔH1.
The indirect path is from H2(g)+O2(g) to H2O(l)+21O2(g) (which is ΔH2), and then from H2O(l)+21O2(g) to H2O2(l) (which is ΔH3).
Therefore, according to Hess's Law:
ΔH1=ΔH2+ΔH3
Step 2: Substitute the given values and solve for ΔH3.
Given ΔH1=−188kJmol−1 and ΔH2=−286kJmol−1.
−188kJmol−1=−286kJmol−1+ΔH3
ΔH3=−188kJmol−1−(−286kJmol−1)
ΔH3=−188kJmol−1+286kJmol−1
\Delta H_3 = 98 \text{ kJ mol^{-1}}
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