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Scorpion4ik [409]
4 years ago
12

How much solution could be heated to boiling by the heat evolved by the dissolution of 24.0 g of naoh? (for the solution, assume

a heat capacity of 4.0 j/g⋅∘c, an initial temperature of 25.0 ∘c, a boiling point of 100.0 ∘c, and a density of 1.05 g/ml.)?
Chemistry
1 answer:
ozzi4 years ago
5 0
<span>Sodium hydroxide (NaOH) has a lattice energy of -887 kJ/mol and a heat of hydration of -932 kJ/mol.
Heat of </span><span>dissolution of 1 mol of NaOH is 887 kJ/mol - 932 kJ/mol = -45 kJ/mol.
m(NaOH) = 24 g.
n</span>(NaOH) = 24 g ÷ 40g/mol = 0,6 mol.
ΔT = 100°C - 25°C = 75°C.
Heat of dissolution of 0,6 mol of NaOH is -45 kJ/mol · 0,6 mol = -27 kJ.
27000 J = m · 4 J/g·°C · 75°C.
m(NaOH) = 90 g of solution.
d = m÷V, V = 90 g ÷ 1,05 g/ml = 85,7 ml.
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when T1 by kelvin = 50+273= 323 K° and T2= 127+273 = 400 K° 
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∴[ ( XCA(o) ) ( 2XCA(o)^2 ) ] / [ (1+2X)^2 * CA(o) * (1-X) ] = 0.025
 
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[(XCA(o)) (2XCA(o))^2] / [(1+2X)^2 CA(o) (1-X) ] = 0.025
 By the matlab function solve
∴ X= X eq = 0.512 for 90% of the equilibrium conversion
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