A chemlcal englneer Is studying the rate of this reaction. Use this graph to ans
ID: 558706 • Letter: A
Question
A chemlcal englneer Is studying the rate of this reaction. Use this graph to answer the following questlons: He fills a reaction vessel with N,Os and measures its concentration as the reaction proceeds What is the half life of the reaction? Round yuur nswer to 2 significant digits. Suppose the rate of the reaction is known to be fist order in N,Os. Calculate the value of the rate constant k 0.8 Round your nswe' to 2 significant digits. Also be sure you include the correct unit symbol Prodict the concentration of N in vessel after 2.10 seconds have passed. Assume no other rcaction is important, and continue to assume the rate is first order in N O Round your answer to 2 significant digits 02 (seconds)Explanation / Answer
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Answer
Half life = 0.30seconds
Explanation
Initial Concentration = 1M
Half life is the time required to reduce the concentration to 1/2 of its original concentration
Half concentration is 0.5M
time corresponding to 0.5M is 0.3seconds in graph
ii)
Answer
2.31s^-1
Explantion
For first order reaction
t1/2= 0.693/k
k = 0.693/t1/2
= 0.693/0.3s
= 2.31s^-1
iii)
For first order reaction
ln[A]t= -kt + ln[A]0
where,
[A]0 = Initial concentration, 1M
k = rate constant , 2.31s^-1
t = time, 2.10s
[A]t= Concentration at time t
ln[A]t = -2.31s^-1 × 2.10s + ln(1)
2.303log[A]t = -4.851 + 2.303log(1)
log[A]t= -4.851/2.303
= -2.106
[A]t= 1×10^-2.106
= 0.0078M
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