Which of the following best describes the relationship between pressure, volume, and temperature in the Ideal Gas Law?

• A. Pressure is inversely proportional to both volume and temperature.
• B. Pressure is inversely proportional to volume and directly proportional to temperature.
• C. Pressure is directly proportional to volume and temperature.
• D. Pressure is directly proportional to both volume and the number of moles.

Answer: (B)

Verified step by step guidance

1. Recall the Ideal Gas Law, which is expressed as \(P \times V = n \times R \times T\), where \(P\) is pressure, \(V\) is volume, \(n\) is the number of moles, \(R\) is the gas constant, and \(T\) is temperature in Kelvin.
2. Rearrange the equation to express pressure in terms of volume and temperature: \(P = \frac{n \times R \times T}{V}\).
3. From this equation, observe that pressure \(P\) is directly proportional to temperature \(T\) because \(T\) is in the numerator.
4. Also, notice that pressure \(P\) is inversely proportional to volume \(V\) because \(V\) is in the denominator.
5. Therefore, the correct relationship is that pressure is inversely proportional to volume and directly proportional to temperature.