Which of the following statements best describes Avogadro’s Law?

a. At constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas.

b. At constant temperature, the volume of a gas is inversely proportional to its pressure.

c. At constant volume, the pressure of a gas is directly proportional to its temperature.

d. At constant pressure, the volume of a gas is inversely proportional to its temperature.

Question

Which of the following statements best describes Avogadro’s Law?

a. At constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas.

b. At constant temperature, the volume of a gas is inversely proportional to its pressure.

c. At constant volume, the pressure of a gas is directly proportional to its temperature.

d. At constant pressure, the volume of a gas is inversely proportional to its temperature.

BlackTom AI · Accepted Answer

When evaluating statements about gas laws, it helps to match each description to the specific condition and relation it asserts.
Option a) asserts that at constant temperature and pressure, the volume is directly proportional to the number of moles. This aligns with Avogadro’s law, which states V ∝ n when T and P are fixed, so adding more moles increases volume proportionally.
Option b) claims that at constant temperature, the volume is inversely proportional to pressure. That describes Boyle’s law (P ∝ 1/V at constant T), not Avogadro’s law, so this is not Avogadro’s description.
Option c) states that at constant volume, the pressure is directly proportional to temperature. This is Gay-Lussac’s law (P ∝ T at constant V) and does not capture Avogadro’s relationship between V and n, so it is incorrect in this context.
Option d) says that at constant pressure, the volume is inversely proportional to temperature. In reality, at constant pressure, volume is directly proportional to temperature (Charles’s law, V ∝ T), so this statement misrepresents the temperature–volume relationship under fixed pressure.
Overall, only the description in option a correctly encapsulates Avogadro’s law by linking volume to the amount of gas at fixed T and P, while the other options describe different gas-law relationships or misstate the dependencies.

2254 CHEM 0101 SEC2010 HW 9

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