1. Density and evidence
A metal sample has a mass of 54.0 g and a volume of 20.0 mL. Calculate its density. What additional evidence would make an identification more convincing?
Explained answer
Use ρ = m/V: 54.0 g ÷ 20.0 mL = 2.70 g/mL. A comparison with a reliable reference value helps, but students should mention uncertainty and possible effects from composition, temperature, or trapped material.
2. Atoms in an ion
An ion has 17 protons and a 1− charge. How many electrons does it have, and why?
Explained answer
It has 18 electrons. A neutral atom with 17 protons has 17 electrons; a 1− charge means one extra electron. Proton count remains the element identity.
3. Balanced equations
Explain why 2H₂ + O₂ → 2H₂O is balanced even though the molecules have been rearranged.
Explained answer
The left side contains four hydrogen atoms and two oxygen atoms. Two water molecules contain those same totals. Coefficients count particles; they do not change the formula or create atoms.
4. Concentration and pH
Two solutions have the same pH. Can they contain different amounts of dissolved solute? State an assumption.
Explained answer
Yes. In the introductory dilute aqueous model, pH describes hydronium concentration; it does not identify every solute or its total amount. Equal pH does not establish equal composition or total concentration.