Which equation from the ideal gas law shows how the amount of gas in moles (n) is related to the temperature (T)?

• A. P = nRT/V
• B. V = nRT/P
• C. n = PV/RT
• D. PV = nRT

Answer: (D)

Verified step by step guidance

1. Recall the ideal gas law equation, which relates pressure (P), volume (V), amount of gas in moles (n), the ideal gas constant (R), and temperature (T): \(PV = nRT\).
2. To express the amount of gas in moles (n) in terms of the other variables, rearrange the equation to solve for \(n\) by dividing both sides by \(RT\).
3. This gives the formula \(n = \frac{PV}{RT}\), showing how the number of moles depends on pressure, volume, and temperature.
4. Alternatively, you can also express volume or pressure in terms of \(n\) and \(T\) by rearranging the original equation accordingly, such as \(V = \frac{nRT}{P}\) or \(P = \frac{nRT}{V}\).
5. Therefore, the ideal gas law \(PV = nRT\) is the fundamental equation that relates all these variables, including the amount of gas in moles and temperature.