Answer to Question #282384 in Physical Chemistry for ghad

Question

Assume water boils at 100^oC in Houston (near sea level), and at 90^oC in Cripple   Creek, Colorado (near 9500 ft ). If it takes 4.8 min to cook an egg in Cripple Creek and 4.5 min in Houston, what is Ea for this process? 

Answer 1

Using Arrhenium equation

In $(\frac{k_1}{k_2})=$ $-\frac{E_a[\frac{1}{T_1}-\frac{1}{T_2}]}{R}$

$k_1=\frac{1}{4.5}$

$k_2=\frac{1}{4.8}$

$T_1=273+100$

$=373K$

$T_2=273+90$

$=363K$

$R=$ Gas constant

$=8.314Joules/Kelvin .mol$

$In\frac{4.8}{4.5}=\frac{-E_a}{8.314} \begin{bmatrix} \frac{1}{373}&-\frac{1}{363} \end{bmatrix}$

$0.064539×8.314=E_a×0.000073856$

$E_a=7265.2Joules/mol$