Question

In a factory chemical reactions are carried out in spherical containers the time T minutes the chemical reaction takes it directly proportional to the square of the radius Rcm of the spherical container when r=120 T=32 find the value of T when r=150

Answer 1

Explanation:

T = kR^2 where k is some constant.

Finding the value of k:

T = 32 when R = 120, so

32 = k*120^2

--> k = 32/120^2

--> k = 32/14400

--> k = 1/450

So we have the relation

T =(1/450)R^2

When R = 150

T = (1/450)*150^2

= 50 minutes.