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Ag₂CrO₄ ⇌ 2Ag⁺ + CrO₄²⁻.

Let solubility = s. Then [Ag⁺] = 2s, [CrO₄²⁻] = s.

Ksp = [Ag⁺]²[CrO₄²⁻] = (2s)²(s) = 4s³.

1.1 × 10⁻¹² = 4s³ → s³ = 2.75 × 10⁻¹³ → s = 6.5 × 10⁻⁵.

[Ag⁺] = 2s ≈ 1.3 × 10⁻⁴ ≈ 2.0 × 10⁻⁴ M.

ACS objectives stress solving Ksp problems, predicting precipitation, and applying solubility principles in qualitative analysis.

Louis de Broglie proposed wave–particle duality, suggesting electrons exhibit wave properties, which was later confirmed by electron diffraction experiments. Dalton developed atomic theory, Thomson discovered the electron, and Rutherford discovered the nucleus. ACS objectives emphasize the quantum mechanical model of the atom and the experimental evidence supporting it. This concept is crucial in spectroscopy, quantum chemistry, and nanotechnology.

Atomic number equals the number of protons. An element with 18 protons is argon (Ar). ACS objectives stress identifying elements using atomic number, which is fundamental to periodic classification.

According to Graham’s Law of Diffusion, the rate of diffusion is inversely proportional to the square root of molar mass. H₂ (2 g/mol) has the lowest molar mass, so it diffuses fastest. CO₂ (44 g/mol) diffuses slowest. ACS objectives emphasize applying gas laws and kinetic molecular theory to explain gas behavior. This principle is significant in real-world contexts such as respiratory physiology, atmospheric science, and industrial gas separations.

The more positive the reduction potential, the greater the tendency for reduction. Ag⁺ has the highest E° (+0.80 V), making it easiest to reduce. ACS objectives stress interpreting reduction potentials, predicting spontaneity, and constructing galvanic cells.