Live practice

Moving from Al to Si increases nuclear charge while the additional electron enters the same principal shell, so shielding does not fully offset the extra proton.

Name the inner functions, differentiate each factor, and then simplify.

Substitution into the original expression verifies the stated domain and final value.

Translate every condition into an equation and retain exact values throughout the conic calculation.

The last line satisfies the original conditions and supplies every requested part.

Translate every condition into an equation and retain exact values throughout the straight-line calculation.

The last line satisfies the original conditions and supplies every requested part.

Convert each reagent to H⁺ or OH⁻ equivalents, subtract the smaller amount, divide the excess by total volume, and calculate pH.

Write each ground-state configuration and apply Hund's rule.

Name the inner functions, differentiate each factor, and then simplify.

Substitution into the original expression verifies the stated domain and final value.

Translate every condition into an equation and retain exact values throughout the conic calculation.

The last line satisfies the original conditions and supplies every requested part.

Translate every condition into an equation and retain exact values throughout the straight-line calculation.

The last line satisfies the original conditions and supplies every requested part.

Write the dissolution equation for each solid, express Ksp in terms of molar solubility s, solve for s, and obtain each ion concentration from stoichiometry.