Which of the following is an expression of Boyle's Law?

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

Answer: (B)

Verified step by step guidance

1. Recall that Boyle's Law describes the relationship between pressure (P) and volume (V) of a gas at constant temperature. It states that the product of pressure and volume is constant when temperature is held constant.
2. Write the mathematical expression of Boyle's Law as \(P \times V = k\), where \(k\) is a constant for a given amount of gas at constant temperature.
3. Understand that the other options involve temperature (T), which is not part of Boyle's Law. For example, \(\frac{P V}{T} = k\) corresponds to the combined gas law, not Boyle's Law alone.
4. Confirm that expressions like \(\frac{V}{T} = k\) or \(\frac{P}{T} = k\) do not represent Boyle's Law because they relate volume or pressure to temperature, which is outside Boyle's Law scope.
5. Therefore, the correct expression for Boyle's Law is \(P V = k\), showing the inverse relationship between pressure and volume at constant temperature.