This reaction was monitored as a function of time: ab --> a + b a plot of 1/[ab] versus time yields a straight line with slope of -0.055/m*s. a) what is the value of the rate constant (k) for this reaction t this temperature? b) write the rate law for the reaction. c) what is the half-life when the initial concentration is 0.55m? d) if the initial concentration of ab is 0.250m, and the reaction mixture initially contains no products, what are the concentrations of a and b after 75s?

A) Since the plot 1/[AB] vs time gives straight line, the order of the reaction with respect to A is second order:
rate constant, K = slope = 5.5 x 10⁻² M⁻¹S⁻¹

b) Rate law : Rate = k[AB]²

c) half life period of the 2nd order is inversely proportional to the initial concentration of the reactants 
t 1/2 = . 
t 1/2 = 

d) k = 5.5 x 10⁻² M⁻¹s⁻¹
Initial concentration of AB, [A₀] = 0.250 M
concentration of AB after 75 s = [A]
k = 
[A] = 0.123 M
Equation: AB → A + B
  concentration of AB after 75 s = 0.123 M
Amount of AB dissociated = 0.25 - 0.123 = 0.127 M
concentration of [A] produced = concentration of [B] produced = Amount of AB reacted = 0.127 M

If the water vapor content stays the same and the temperature drops, then the relative humidity increases. its vise versa.if the water vapor content stats the same and the temperature rises, the relative humidity decreases. so, yes, i'd say that temperature and humidity have a strong relationship.

What are the options? i can you if you give them.