Use the equation AS In(K) = R For K at two temperatures T₁ and T₂, the equation can be manipulated to give: K2 AHⓇ 1 1-K-AR (-) In = K₁ In -AHⓇ RT 3.25 x 10-² 8.94 In(8.94) - 5.62 = (5.80 × 10-5 mol/J)(AH°) -9.69 × 10¹ J/mol AH° = For K= 8.94 at T = 25°C: + = = AHⓇ 8.3145 J/K mol 298 K 1 (K-3K) 348 K AS 8.3145 AS = -307 J/K . mol We get the same value for AS using K = 3.25 × 10-² at T = 348 K. - 36.9 -(-9.69 × 10¹ J/mol) ASⓇ (8.3145 J/K-mol) (298 K) 8.3145 J/K - mol Estimate the temperature where K = 1.00 for this reaction. Temperature K
Use the equation AS In(K) = R For K at two temperatures T₁ and T₂, the equation can be manipulated to give: K2 AHⓇ 1 1-K-AR (-) In = K₁ In -AHⓇ RT 3.25 x 10-² 8.94 In(8.94) - 5.62 = (5.80 × 10-5 mol/J)(AH°) -9.69 × 10¹ J/mol AH° = For K= 8.94 at T = 25°C: + = = AHⓇ 8.3145 J/K mol 298 K 1 (K-3K) 348 K AS 8.3145 AS = -307 J/K . mol We get the same value for AS using K = 3.25 × 10-² at T = 348 K. - 36.9 -(-9.69 × 10¹ J/mol) ASⓇ (8.3145 J/K-mol) (298 K) 8.3145 J/K - mol Estimate the temperature where K = 1.00 for this reaction. Temperature K
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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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