Determine AHF and AS" for the auto-ionization 2 H₂O Temperature (°C) K₂ H₂O() 25 35 40 50 of water. + OH) 1.14 10 1.00×10 2.09 - 10 2.92 × 10 5.47 104 T(K) Ln(K₂)

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Chapter1: Chemical Foundations
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Exercise: Determine AHP and AS for the auto-ionization of water.
2 H₂O
Temperature (°C)
0
25
35
40
50
H₂O (aq) + OH(aq)
Ln(K₂)
Ku
1.14 10
1.00×10
2.09 x 104
2.92 x 104
5.47x10-¹4
Ln(K) = -
Hints:
1. The linear equation that correlates the temperature and equilibrium constant is
called vant's Hoff equation
AH
1
T(K)
3. Take the reciprocal of T(K)-
4. Covert Kw to Ln(K)
5. Obtain the best-fit straight line, slope
8.314 J/mol.k→ AH = -slope x 8.314
6. ASY-intercept x 8.314
R
2. Convert T in °C to T in K, T(K)= T(C) +273
T(K)
+45°
ΔΗ
R
since R (ideal gas constant) ==
Transcribed Image Text:Exercise: Determine AHP and AS for the auto-ionization of water. 2 H₂O Temperature (°C) 0 25 35 40 50 H₂O (aq) + OH(aq) Ln(K₂) Ku 1.14 10 1.00×10 2.09 x 104 2.92 x 104 5.47x10-¹4 Ln(K) = - Hints: 1. The linear equation that correlates the temperature and equilibrium constant is called vant's Hoff equation AH 1 T(K) 3. Take the reciprocal of T(K)- 4. Covert Kw to Ln(K) 5. Obtain the best-fit straight line, slope 8.314 J/mol.k→ AH = -slope x 8.314 6. ASY-intercept x 8.314 R 2. Convert T in °C to T in K, T(K)= T(C) +273 T(K) +45° ΔΗ R since R (ideal gas constant) ==
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