Question

Two chemicalsandare combined to form a chemical. The rate, or velocity, of the reaction, is proportional to the product of the instantaneous amounts ofand B not converted to chemical C. Initially, there aregrams of A and 50 grams of B, and for each gram of B,grams of A is used. It is observed that 10 grams of C are formed in 5 minutes. How much is formed in minutes? What is the limiting amount of C after a long time? How much of chemicals A and B remain after a long time?

Short answer

Answer:

The amount of chemicalafter 20 min is

The limiting chemicalis

The chemicalandremain after a long time iṣ

Step-by-step solution

Define the law of Mass.

The law of mass action states that when no temperature change is involved, the rate at which the two substances react is proportional to the product of the amounts of andthat are untransformed (remaining) at time.

Find the rate of change of the reaction.

The amount used in mixing chemical A in the mix is twice that of the chemical B

When the condition is;

The chemical C formed after 20min.

Now formed the partial fraction from the fraction to solve.

Here,

Now on comparing we have

By solving the above equation, we get,

Now substituting

Now find the constant 

Then we have;

Now put the condition in equation 3 we have

Now substitute the value in equation 3

Now find the proportionality constant

When

Then we have;

Now substitute the value of k in equation 4

Now find the amount of chemical C after 20min.

Find the limiting amount of chemical C.

The amount of chemical C after 20 min is

The limiting chemical C is

The amount of chemical A and chemical B iṣ