A student conducts an experiment to see how music affects plant growth. The student obtains four identical plants. Each one is p
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Answer:
1) Eₐ = 100.3 kJ/mol
2) k = 7.62×10⁻⁴ M⁻¹s⁻¹
Explanation:
1) Make an Arrhenius graph by plotting ln(k) on the y-axis and 1/T on the x-axis (don't forget to convert temperature to Kelvin).
The slope of the line is equal to -Eₐ/R.
-Eₐ/R = -12065
Eₐ = 100,300 J/mol
Eₐ = 100.3 kJ/mol
2) Since we know the slope of ln(k) vs 1/T is -Eₐ/R, we can say:
-Eₐ/R = (ln(k₂) − ln(k₁)) / (1/T₂ − 1/T₁)
Plug in values and solve for k:
-(108,000 J/mol) / (8.314 J/mol/K) = [ln(k) − ln(1.0×10⁻³)] / [1/(35+273.15 K) − 1/(37+273.15 K)]
-12990 = [ln(k) + 6.91] / (2.09×10⁻⁵ K⁻¹)
-0.272 = ln(k) + 6.91
ln(k) = -7.18
k = 7.62×10⁻⁴ M⁻¹s⁻¹
