Which of the following is the correct expression for Avogadro's Law, where k is a constant?

• A. P = k n
• B. V = k T
• C. P = k V
• D. V = k n

Answer: (D)

Verified step by step guidance

1. Recall that Avogadro's Law states that at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas present.
2. Express this relationship mathematically as \(V \propto n\), where \(V\) is the volume and \(n\) is the number of moles.
3. To convert the proportionality into an equation, introduce a constant of proportionality \(k\), giving \(V = k n\).
4. Understand that this means if you increase the number of moles of gas while keeping temperature and pressure constant, the volume will increase proportionally.
5. Compare this expression to the other options and confirm that \(V = k n\) correctly represents Avogadro's Law.