In the following reaction x A y B , ₁₀ [- d[A] d t ]= ₁₀ [ d[B] d t ]+0.3010 The relation between x and y is: [Given: 2=0.3010, 4=0.6020 ]

Step-by-step solution

For the reaction x A y B , the rate of reaction is given by: - 1 x d[A] dt = 1 y d[B] dt This implies - d[A] dt = x y d[B] dt Taking ₁₀ on both sides: ₁₀ ( - d[A] dt ) = ₁₀ ( x y d[B] dt ) ₁₀ ( - d[A] dt ) = ₁₀ ( d[B] dt ) + ₁₀ ( x y ) Comparing this with the given equation ₁₀ ( - d[A] dt ) = ₁₀ ( d[B] dt ) + 0.3010 , we get: ₁₀ ( x y ) = 0.3010 Since 0.3010 = ₁₀ 2 , we have: ₁₀ ( x y ) = ₁₀ 2 x y = 2 x = 2y Answer: x=2 y