Avogadro's law states that at a given temperature and pressure, which quantity remains constant for all ideal gases?

• A. The pressure per mole (P/n)
• B. The temperature per mole (T/n)
• C. The mass per mole (m/n)
• D. The volume per mole (V/n)

Answer: (D)

Verified step by step guidance

1. Recall Avogadro's law, which states that at constant temperature and pressure, the volume of an ideal gas is directly proportional to the number of moles of gas present.
2. Express Avogadro's law mathematically as \(V \propto n\) when temperature (T) and pressure (P) are constant.
3. Rewrite the proportionality as an equation by introducing a constant \(k\): \(V = k \times n\).
4. Divide both sides of the equation by \(n\) to isolate volume per mole: \(\frac{V}{n} = k\).
5. Interpret this result: since \(k\) is constant under the given conditions, the volume per mole (\(\frac{V}{n}\)) remains constant for all ideal gases at the same temperature and pressure.