Using the Integral Test In Exercises 1-22, confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series.

\(\sum_{n=1}^{\infty} \frac{1}{n+3}\)

Text Transcription:

sum_n=1^infinity 1/n+3

CHM 11600 Exam 3 Study Guide • Determine whether an aqueous solution of a salt will be acidic, basic or neutral given values of Ka and Kb for conjugate acid-base pairs. o For any conjugate acid-base pair, the relationship between Ka and Kb is that (Ka)(Kb) = Kw = 1 x 10^-14 o To determine whether a solution is acidic, basic or neither, we need to find the pH. § First, set up the equation with the acid-base pair § Then, write equilibrium equation and set equal to Ka or Kb § Find unknown value, this will be H3O+ for Ka or OH- for Kb. § pH = -log(H3O), or 14 – (-log(OH-)) § pH<7 = acidic, pH 7 = neutral, pH>7 = basic. • Describe a "buffer solution”. o A buffer solution is a solution that decreases the impact on pH from the addition of an acid or a base, and it is made up of a conjugate acid-base pair (weak acid + conj. Base or weak base + conj. Acid) • Describe how either an acidic or basic buffer solution is prepared. o Step 1. Choose the conj.acid-base pair o