Which equation best describes the relationship between pressure, volume, temperature, and amount of a gas contained within a piston-cylinder assembly under ideal conditions?

• A. P = VnR/T
• B. PV = nRT
• C. PV = mRT
• D. P = nRT/V^2

Answer: (B)

Verified step by step guidance

1. Recall the Ideal Gas Law, which relates pressure (P), volume (V), temperature (T), and amount of gas in moles (n) for an ideal gas.
2. The Ideal Gas Law is expressed as: \(P \times V = n \times R \times T\), where \(R\) is the ideal gas constant.
3. Understand that \(P\) is pressure, \(V\) is volume, \(n\) is the number of moles of gas, \(R\) is a constant, and \(T\) is the absolute temperature in Kelvin.
4. Check each given equation to see if it matches the form \(P \times V = n \times R \times T\) exactly.
5. Identify that the equation \(PV = nRT\) correctly represents the relationship under ideal conditions, while the others do not follow the correct formula.