Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams of C is formed in 7 minutes. How much is formed in 14 minutes? What is the limiting amount of C after a long time? How much of chemicals A and B remains after a long time?

25.35 grams of C  is formed in 14 minutes

after a long time , the limiting amount of C = 60g ,

A = 0 gram

and  B = 30 grams;           will remain.

Step-by-step explanation:

From the information given;

Let consider x(t) to represent the number of grams of compound C present at time (t)

It is  obvious that x(0) = 0 and x(5) = 10 g;

And for x gram of C;

  grams of A is used ;

also   grams of B is used

Similarly; The amounts of A and B remaining at time (t) are;

  and

Therefore ; rate of formation of compound C can be said to be illustrated as ;

=

where;

k = proportionality constant.

=

By applying the  separation of variable;

Solving by applying partial fraction method; we have:

Taking the integral of both sides ; we have:

Applying the initial condition x(0) =0  to determine the value of P

Replace x= 0 and t =0 in the above equation.

Thus;

Thus;

Applying the initial condition for x(7) = 15 , to find the value of k

Replace t = 7 into

k = 0.0013

Thus;

The amount of C formed in 14 minutes is ;

x(14) = 25.35 grams

Thus 25.35 grams of C  is formed in 14 minutes

NOW; The limiting amount of C after a long time is:

As;

⇒

= 60 grams

Therefore  as t → ;   x = 60

and the amount of A that remain =

=

= 40 -40

=0 grams

The amount of B that remains =

=

= 50 - 20

= 30 grams

Hence; after a long time ; the limiting amount of C = 60g , and 0 g of A , and 30 grams of B will remain.

I Hope That Helps You Alot!.

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation:

d. all of the above

step-by-step explanation: