Integrated rate laws

X → products

Pure substance X decomposes according to the equation above. Which of the following graphs indicates that the rate of decomposition is second order in X ?

• 
• 
• 
• 

Which of the following best identifies the rate constant k

for the reaction based on the information in the plot of ln[H₂O₂] versus time (t) ?

• k = ln[H₂O₂] at t=0s

• k = −(slope of plot)

• k = ln[H₂O₂] at t=500s

What is the rate constant for a first-order reaction with an initial reactant concentration of .300 mol/L if, after 200 s, the concentration is .200 mol/L?

• .005 s^-1

• .002 s^-1

• .001 s^-1

• .006 s^-1

The graphs shown in the diagram indicate that reactant A is ________________ order.

• zero

• first

• second

Given: CH₃COCH₃ + Cl₂ -> CH₃COCH₂Cl + HCl

The given reaction is zero order with respect to Cl₂ and first order with respect to CH₃COCH₃. Determine the concentration of CH₃COCH₃ after 30 seconds if the initial concentration of CH₃COCH₃ is 0.025 M and the rate constant at 25 ^oC is 1.32 x 10^-1 s^-1.

• 4.77 x 10^-4 M

• 4.77 x 10^-2 M

• 4.77 x 10^-3 M

• 4.77 x 10^-6 M

A reaction has the rate law: Rate = k [A][B].
What is the overall order of reaction?

• 1st
• 2nd
• 3rd
• 4th

A reaction has the rate law: Rate = k [A][B].
What is the order of reaction with respect to A?

• 1st
• 2nd
• 3rd
• 4th

A reaction has the rate law: Rate = k [A][B].
What will happen to the rate of reaction if the concentration of A is doubled and the concentration of B is tripled?

• increases by a factor of 3
• increases by a factor of 4
• increases by a factor of 5
• increases by a factor of 6

The rate law for the reaction 2NO_(g) + O_2(g) → 2NO_2(g) is first order in O₂ and third order overall. What is the rate law for the reaction?

• Rate = k [NO]²[O₂]²
• Rate = k [NO]¹[O₂]²
• Rate = k [NO]²[O₂]¹
• Rate = k [2NO]²[O₂]¹

The decomposition of SO₂Cl₂ is first order and given by the equation below:

SO₂Cl₂(g) --> SO₂(g) + Cl₂(g)

At 600 K the half-life for this process is 2.3 x 10⁵ s. What is the rate constant at this temperature?

• 6.8 x 10^-6 s^-1

• 3.0 x 10^-6 s^-1

• 3.0 x 10^-4 s^-1

• 6.8 x 10^-7 s^-1