The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical A required to keep the reaction rate unchanged.
Choose the correct choice from the following options:
A) 100 % decrease	B) 50% decrease	C) 40% decrease	D) 40% increase	E) 50% increase
r = k A^2 / B for some constant k&lt;&gt;0   (Question should also give B&lt;&gt;0)   So we have   r1 = k A1^2 / B1   r2 = k A2^2 / B2   r1 = r2   B2 = (1+100%)B1 = 2B1   k A1^2 / B1 = k A2^2 / B2   A1^2 / B1 = A2^2 / 2B1   2A1^2 = A2^2   (sqrt(2)A1)^2 = A2^2   A1,A2&gt;0   A2 = sqrt(2) * A1   A2 = (1 + 41.4%) * A1   About 40% increase   ANSWER:40% decrease
<result>C</result>
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical A required to keep the reaction rate unchanged.