The Chemistry Behind These Two Tools
Molar mass is a weighted sum over a parsed formula. Compute it by adding each element's atomic mass multiplied by how many atoms of it the formula contains. For H₂O that is (2 × 1.008) + 15.999 ≈ 18.015 g/mol. The arithmetic is trivial; the parsing is where hand-calculation fails — nested parentheses and hydrates like Ca(OH)₂ or CuSO₄·5H₂O require distributing multipliers correctly, and a single missed subscript propagates through every subsequent step of a stoichiometry problem.
Molar mass is the bridge between the measurable and the countable. That is why it matters so much. You cannot count molecules, but you can weigh grams — and molar mass converts between them. Almost every stoichiometry problem is grams to moles, moles to moles via a balanced equation, then moles back to grams. Get the first conversion wrong and the entire answer is wrong while looking perfectly reasonable.
pH is a negative logarithm, which is why the scale behaves oddly. pH = −log₁₀[H⁺]. The logarithm means each whole pH unit is a tenfold change in hydrogen ion concentration: pH 3 is ten times more acidic than pH 4 and a hundred times more acidic than pH 5. This is the single most misread aspect of the scale — "slightly acidic" at pH 5 versus pH 6 is a tenfold difference, not a small one. The negative sign exists purely so that everyday concentrations produce convenient positive numbers instead of awkward negative exponents.
The 0–14 range is a convention, not a limit. It comes from water's ion product at 25 °C, where neutral sits at 7. Concentrated acids can genuinely have negative pH, and the neutral point itself shifts with temperature — neutral water at 50 °C is not pH 7. Standard problems assume 25 °C, and it is worth knowing why.
