The organic acid, ACOOH, reacts reversibly with the alcohol BOH, to form the ester ACOOB according to the stoichiometric equatio
n: ACOOH BOH ACOOB H20 The reaction will be carried out in an ideal batch reactor and the water will be removed rapidly by stripping with an inert gas as the reaction proceeds. Therefore, the reverse reaction can be neglected. The rate equation for the forward reaction is: The value of the rate constant s k = 0.16 M-2h-1 at 373 K. The reaction is carried out in solution in a 2000 L reactor. The initial concentration of ACOOH is ACOOHJo = 2 M and the initial concentration of BOH is [BOHo 3 M. The reactor is operated isothermally at 373 K. How long must the liquid phase reaction run in an ideal, isothermal batch reactor to obtain a fractional conversion of A of 0.9?
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Answer:
Explanation:
Using the kinematics equation to determine the velocity of car B.
where;
initial velocity
= constant deceleration
Assuming the constant deceleration is = -12 ft/s^2
Also, the kinematic equation that relates to the distance with the time is:
Then:
The distance traveled by car B in the given time (t) is expressed as:
For car A, the needed time (t) to come to rest is:
Also, the distance traveled by car A in the given time (t) is expressed as:
Relating both velocities:
t = 2.25 s
At t = 2.25s, the required minimum distance can be estimated by equating both distances traveled by both cars
i.e.
d + 104.625 = 114.75
d = 114.75 - 104.625
d = 10.125 ft