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 25 grams of C is formed in 8 minutes. How much (in grams) is formed in 16 minutes

45. 78 g  is formed in 16 minutes.

Explanation:

Let and

we know that

According to the question to create part of the chemical C we will need 2 part of A and one part of B.

Therefore, M = 2 and N = 1.

Now, we can easily solve  for the value of α and β.

Now, the differential equation must be:

I separate the variable and solve the equation

By using ,

and using and solving for the value of 'k'

Taking 'ln' both side, we get

We obtain:

Now, for the 16 min