1) For the reaction
A -> B +C
the concentration of A has been measured as a function of time.
.png)
Plot [A], ln[A] and 1/[A] as a function of time and determine the order of the reaction and the rate constant in the correct units.
The reaction
A→ B+C
Time vs [A] graphs comes out to be approximately straight linewith negative slope (-k) and therefore, it suggests that this is zero order reaction.
Rate constant = k (M/s)
.png)
Time vs Ln[A]
The time vs natural logarithm of concentration graphs comes out to be perfect straight line with negative slope and therefore, it suggests that this is first order reaction.
Rate constant = K[A] sec-1
.png)
The above shown graph of time versus of concentration of reactant clearly indicates that it is straight line with positive slope (k). It represents a second order reaction.
Rate = K[A]2 (M-1 s-1)
We have identified a coloring agent to add to our drinks – it gives the drink a very
interesting colour.
However, some customers have complaint about fading colours.
Our scientists have investigated the reaction – the molecules degrades following first
order kinetics with a half-life of 712 days.
You can detect a change in colour for Management Assignment Expert, when 10% of the molecule have degraded.
What is the shelf-life we should advise? How long does it take from the production
date, until 10% of the coloring agent has degraded?
Reaction = First order kinetics
Half-life = 712 days
Shelf life when 10% of molecule have degraded =?
For a first order reaction the rate constant is given as shown below.
t 1/2 = 0.693 / k
Now,
K = 0.693 / t 1/2 = 0.693/712 = 0.000973 days -1
Also,
The shelf life of a quantity attribute following the first order kinetics is shown below.
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