The reaction between chlorine and nitric oxide to form nitrosyl chloride is shown below.If the reaction rate doubles when the concentration of Cl₂ is doubled and the rate quadruples when the concentration of NO is doubled,by what factor will the rate increase if both concentrations,NO and Cl₂,are doubled? Cl₂(g)+ 2 NO(g)→ 2 NOCl(g)

Question

Quizplus · Accepted Answer

Since the rate doubles when [Cl2] doubles, we can conclude that the reaction is first order with respect to Cl2. Similarly, since the rate quadruples when [NO] doubles, we can conclude that the reaction is second order with respect to NO. Therefore, the overall rate equation is Rate = k[Cl2][NO]^2.

If both [Cl2] and [NO] are doubled, the new rate would be: 
New Rate = k(2[Cl2])(2[NO])^2 = 8k[Cl2][NO]^2

Therefore, the rate would increase by a factor of 8. Therefore, the correct answer is C.

The Reaction Between Chlorine and Nitric Oxide to Form Nitrosyl