A chemical engineer is studying the rate ct this reaction. 2HI(g) rightarrow H2(

Question

A chemical engineer is studying the rate ct this reaction. 2HI(g) rightarrow H2(g) + I2(g) He fills a reaction vessel with HI and measures its concentration as the reaction proceeds. Here's a graph of his data Use this graph to answer the following questions: What is the half life of the reaction? Round your answer to 2 significant digits. Suppose the rate of the reaction is known to be first order in HI. Calculate the value of the rate constant k . Round your answer to 2 significant digits. Also be sure you include the correct unit symbol. Predict the concentration of H I in the engineer's reaction vessel after 10. 0S seconds have passed. Assume no other reaction is important, and continue to assume the rate is first order in HI. Round your answer to 2 significant digits.

Explanation / Answer

Q1.

half life, by definition, is the time reuqired to achieve the 50% of initial concentration

so

initial concentratin = 0.12 M approx

half = 0.12/2 = 0.06 M

then

time required = 2.5 seconds approx

Question 2.

if 1st order, then calculate K

k for 1st order

k = ln(2)/HL

k = ln(2)/2.5

K = 0.277 1/s

Quesiton 3.

find HI concentration after t = 10 seconds

assume no other reaction is present

so

For first order

dC/dt = k*C^1

dC/dt = k*C

When developed:

dC/C = k*dt

ln(C) = ln(C0) - kt

ln(C) = ln(0.12) - (0.277 )(10)

C = exp( ln(0.12) - (0.277 )(10) ) = 0.00751 M

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