Using the ideal gas law, which of the following expressions correctly relates pressure (P), volume (V), number of moles (n), temperature (T), and the gas constant (R) for an ideal gas?

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

Answer: (D)

Verified step by step guidance

1. Recall the ideal gas law, which relates pressure (P), volume (V), number of moles (n), temperature (T), and the gas constant (R) for an ideal gas.
2. The ideal gas law is expressed as \(P V = n R T\), where each variable represents: \(P\) = pressure, \(V\) = volume, \(n\) = number of moles, \(R\) = ideal gas constant, and \(T\) = temperature in Kelvin.
3. Check each given expression to see if it matches the correct form of the ideal gas law: \(P V = n R T\).
4. The first expression \(P V = \frac{R T}{n}\) incorrectly places \(n\) in the denominator, which does not match the ideal gas law.
5. The second and third expressions also rearrange variables incorrectly or have incorrect powers, so the correct expression is the one that matches \(P V = n R T\) exactly.