Which of the following represents the formula for Boyle's Law?

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

Answer: (C)

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 and amount of gas are held constant.
2. Write the mathematical expression for Boyle's Law, which is: \(P \times V = k\), where \(k\) is a constant for a given amount of gas at constant temperature.
3. Understand that the other options involve temperature (T) or the ideal gas constant (R), which are part of other gas laws, such as Charles's Law (\(V/T = k\)) or the Ideal Gas Law (\(P V = n R T\)).
4. Confirm that Boyle's Law does not include temperature explicitly because it assumes temperature is constant during the process.
5. Therefore, the correct formula representing Boyle's Law is \(P V = k\).