Sol :-
Relationship between enthalpy change of the reaction (ΔH) and change in internal energy (ΔE) of the reaction is :
ΔH = ΔE + RT Δng ...................(1)
If Δng = 0 , then ΔH = ΔE
If Δng > 0 , then ΔH > ΔE and
If Δng < 0 , then ΔH < ΔE
Here,
R = Universal gas constant, T = Temperature and
Δng = [Sum of number of moles of gaseous products (np)] - [Sum of number of moles of gaseous reactants (nR)]
Now,
1. Given reaction is : C (s) + O2 (g) -----------------> CO2 (g)
Here, Δng = 1 - 1 = 0
Hence, ΔH = ΔE
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2. Given reaction is : Zn2+ (aq) + 2OH- (aq) -----------------> Zn(OH)2 (s)
Here, Δng cannot be dtermine
So, ΔH not equal to ΔE
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3. Given reaction is : C3H4 (g) + 4O2 (g) -----------------> 3CO2 (g) + 2H2O (l)
Here, Δng = 3 - 5 = -2
So, ΔH < ΔE
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4. Given reaction is : CaCO3 (s) -----------------> CaO (s) + CO2 (g)
Here, Δng = 1 - 0 = 1
So, ΔH > ΔE
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5. Given reaction is : 2Al (s) + 6HCl (aq) ----------------->2AlCl3 (aq) + 3H2(g)
Here, Δng = 3 - 0 = 1
So, ΔH > ΔE
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Hence, Option (a) is the correct answer.
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