Cracking The SAT Premium

(Marvins-Underground-K-12) #1
Questions   37  and 38  refer   to  the following   information.

The kinetics    of  a   chemical    reaction    can be  described   by  the equations   above,
where e is a constant approximately equal to 2.718, k is the rate constant in
L/mol-s, Ea is the activation energy in J/mol-K, T is temperature in Kelvin, r is
the reaction rate in mol/s, and [A] is the concentration of a species in mols/L,
either initially as [A] 0 , or at a given time of t as [A]t. C is a constant equal to 4,
and R is a constant of 8.314 J/mol.

37.If   the reaction    initially   starts  with    2   mol/L   of  species A,  and the activation  energy  of  the
reaction is 10,082 J/mol, at 310 Kelvin, how many seconds will it take for the
concentration of A to reach 0.4 mol/L?

38.If   rate    constant    k   triples for the reaction    described   in  question    37, what    is  the
concentration of species A after 50 seconds, in mol/L?

Here’s How to Crack It


As you can see, in order to have a chance at solving question 38, you first must solve question 37. In most
cases, the two Extended Thinking questions will be more independent of each other. In that case, if one is
easier than the other, maybe try that one and skip the other one. Only students aiming for a top score
should attempt both Extended Thinking questions.


Tackling    Extended    Thinking    Questions
Most Extended Thinking
questions can be solved
independent of one
another, and one is often
easier than the other.
Consider doing the more
straightforward one and
skipping the more difficult
or time-consuming one.

Let’s start with question 37. There are three equations, so it is hard to know where to begin. Start by


writing down the values for the variables you know. The question tells us that [A] 0 = 2 and [A]t = 0.4. You

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