What is the rate of a reaction if the value of [tex]k[/tex] is 0.1, [tex][A][/tex] is 1 M, and [tex][B][/tex] is 2 M? Rate [tex]=k[A]^2[B]^2[/tex]
A. [tex]0.8(mol / L ) / s[/tex]
B. [tex]0.4(mol / L ) / s[/tex]
C. [tex]0.2(mol / L ) / s[/tex]
D. [tex]1.6(mol / tL ) / s[/tex]
Answer (1)
Substitute the given values k = 0.1 , [ A ] = 1 M, and [ B ] = 2 M into the rate equation Rate = k [ A ] 2 [ B ] 2 .
Calculate the rate: Rate = 0.1 × ( 1 ) 2 × ( 2 ) 2 = 0.4 .
The rate of the reaction is 0.4 ( m o l / L ) / s .
Explanation
Problem Setup and Given Values We are given the rate equation Rate = k [ A ] 2 [ B ] 2 , where k = 0.1 , [ A ] = 1 M, and [ B ] = 2 M. Our goal is to calculate the rate of the reaction by substituting these values into the equation.
Substituting Values and Calculating the Rate Now, we substitute the given values into the rate equation: Rate = 0.1 × ( 1 ) 2 × ( 2 ) 2 Rate = 0.1 × 1 × 4 Rate = 0.4
Final Answer The rate of the reaction is 0.4 ( m o l / L ) / s .
Examples
Understanding reaction rates is crucial in many real-world applications, such as drug development and environmental science. For example, when designing a new drug, scientists need to know how quickly the drug will react in the body to ensure it is effective and safe. Similarly, in environmental science, understanding the reaction rates of pollutants helps in predicting their impact on the environment and developing strategies for remediation. By calculating reaction rates, we can optimize processes and make informed decisions in various fields.
