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Determine the molar solubility of BaF2 in pure water.  The Ksp for BaF2 = 2.45 × 10-5. 1.83 × 10-2 M 1.23 × 10-5 M 2.90 × 10-2 M 4.95 × 10-3 M

Calculate the pH of a solution formed by mixing 200.0 mL of 0.20 M HClO with 200.0 mL of 0.40 M KClO.  The Ka for HClO is 2.9 × 10-8. 5.86 7.84 7.54 7.24

What is the pH of a 1L buffer consisting of 0.25 M HCHO2 and 0.30 M LiCHO2 after adding 0.05 moles of HI, assuming no change in volume. The pKa of HCHO2 is 3.74. 3.74 3.66 3.82 1.30

Find an invertible matrix P and matrix C such that C = P-1AP.

Find the eigenvalues of A. Hint: Use the fact that the trace of A (sum of the entries on the main diagonal of A) should equal the sum of the eigenvalues (including multiplicities) to check your answer.

If a 3×3 matrix A has fewer than 3 distinct eigenvalues, then A is not diagonalizable.

The matrices A and AT have the same eigenvalues, counting multiplicities.

Find the characteristic polynomial of A.  Do not factor your answer.

Similar matrices have the same eigenvalues.

If A is row equivalent to the identity matrix, then A is diagonalizable.