Question

Part A Use the data to find ΔH∘rxn and ΔS∘rxn for the reaction.

<Chapter 18 Homework Exercise 18.79 37 of 37 > M Review Constants Periodic Table Consider the following reaction: H (9) + L (9) = 2 HI (9) The data in the table show the equilibrium constant for this reaction measured at several different temperatures, Part A Use the data to find All and A Sexn for the reaction. V AXD OD ? Temperature 150 K 175 K 200K 225 K 250 K K 1.4 x 10 4.6 x 10-6 3.6 x 10-2 1.1 15.5 4- 114 Submit Previous Answers Request Answer * Incorrect; Try Again Part B VO A¢ * O DI? AS - 624 Submit Previous Answers Request Answer X Incorrect; Try Again

Answer 1

K	lnK	T (K)	(1/T)
1.4×10-6	-13.48	150	0.0067
4.6×10-6	- 12.29	175	0.0057
3.6×10-2	-3.32	200	0.0050
1.1	0.095	225	0.0044
15.5	2.74	250	0.0040

Now plot of lnK vs (1/T) is

Intercept (a): 28.442502168257 Slope (b): -6529.7484822203 Regression line equation: y=28.442502168257- 6529.7484822203x 0 0 0 0.01 0.01 0.01 (1/1)

lnK = - $\frac{\Delta H}{RT}$ + $\frac{\Delta S}{R}$

Slope = $\frac{\Delta H}{R}$ = 6529.75

Or, $\Delta H$ = R × 6529.75 = 8.314× 6529.75 = 54290 J = 54.29 KJ

Intercept = $\frac{\Delta S}{R}$ = 28.44

$\Delta S$ = 28.44 × R = 28.44 × 8.314 = 236.45 J/K