For a first-order reaction, which of the following is the correct integrated rate law and half-life expression?

For a first-order reaction, which of the following is the correct integrated rate law and half-life expression?

• A. [A] = [A]0 - kt; t1/2 = [A]0/(2k)
• B. ln([A]) = ln([A]0) - kt; t1/2 = ln 2 / k
• C. 1/[A] = kt + 1/[A]0; t1/2 = 1/(k [A]0)
• D. ln([A]) = ln([A]0) + kt; t1/2 = -ln 2 / k

Answer: (B)