The decomposition of ethanol (C₂H₅OH) on an alumina (Al₂O₃) surface was studied at 600 K. Concentration versus time data were collected for this reaction, and a plot of [A] versus time resulted in a straight line with a slope of 4.0010⁵ mol/L s.

C₂H₅OH(g) C₂H₄(g) + H₂O(g)

(a) Determine the rate law, the integrated rate law, and the value of the rate constant for this reaction. rate law

integrated rate law

rate constant

k =

mol/L s

(b) If the initial concentration of C₂H₅OH was 1.9010² M, calculate the half-life for this reaction.

t1/2 =

s

(c) How much time is required for all the 1.9010² M C₂H₅OH to decompose?

t =

s