Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Use the equation
AH° AS
In(K)
+
RT
R
For K at two temperatures T₁ and T₂, the equation can be manipulated to give:
AHⓇ 1
·(₁
1/2)
K₁ R T₁
T₂
In =
In
3.25 x 10-2
8.94
-5.62 =
(5.80 × 10-5 mol/J) (AH°)
AH = -9.69 x 10¹ J/mol
For K = 8.94 at T = 25°C:
AH°
1
8.3145 J/K mol 298 K
In(8.94) =
AS⁰
8.3145
= -36.9
-(-9.69 × 10¹ J/mol)
ASⓇ
+
(8.3145 J/K.mol) (298 K) 8.3145 J/K . mol
1
348 K
AS-307 J/K.mol
We get the same value for AS using K = 3.25 x 10-2 at T = 348 K.
b Estimate the temperature where K = 1.00 for this reaction.
Temperature =
K
expand button
Transcribed Image Text:Use the equation AH° AS In(K) + RT R For K at two temperatures T₁ and T₂, the equation can be manipulated to give: AHⓇ 1 ·(₁ 1/2) K₁ R T₁ T₂ In = In 3.25 x 10-2 8.94 -5.62 = (5.80 × 10-5 mol/J) (AH°) AH = -9.69 x 10¹ J/mol For K = 8.94 at T = 25°C: AH° 1 8.3145 J/K mol 298 K In(8.94) = AS⁰ 8.3145 = -36.9 -(-9.69 × 10¹ J/mol) ASⓇ + (8.3145 J/K.mol) (298 K) 8.3145 J/K . mol 1 348 K AS-307 J/K.mol We get the same value for AS using K = 3.25 x 10-2 at T = 348 K. b Estimate the temperature where K = 1.00 for this reaction. Temperature = K
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