Question

<Assignment 16 Chap 14: Integrated Rate Law and Half Life Problem 14.47 Review Part B Consider the following hypothetical aqueous reaction: A (aq) → B(aq). A flask is charged with 0.065 mol of A in a total volume of 100.0 mL. The following data are collected: What is the rate constant for the reaction? Express your answer using two significant figures. Time (min) 0 10 20 30 40 Moles of A 0.065 0.051 0.042 0.036 0.031 O ? IVO ACO 8.3 · 10-5 M-1 min-1 Submit Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining Part C What is the half-life for the reaction? Express your answer using two significant figures.

Need help with part B and C

Answer 1

B. We know that it is a first order reaction from the equation: For a first order reaction:

A = A₀ * e^-kt, where A₀ is initial count of atoms, A is the count at time t and k is rate constant

Substituting the values at t=0 and t = 10

0.051 = 0.065 * e^-k*10

Solving, 0.785 = e^-10k

0.242 = 10k

K = 2.42 * 10^-2

C. Half life = ln(2) / k = 28.64 min