Which law relates pressure, volume, and temperature for an ideal gas, and what happens to pressure if the temperature increases at constant volume?

Which law relates pressure, volume, and temperature for an ideal gas, and what happens to pressure if the temperature increases at constant volume?

• A. Boyle's Law; Pressure increases with temperature.
• B. Ideal Gas Law PV=nRT; Pressure increases with temperature.
• C. Charles's Law; Pressure decreases with temperature.
• D. Avogadro's Law; Pressure remains the same.

Answer: (B)

The Ideal Gas Law, PV = nRT, ties together pressure, volume, and temperature for an ideal gas. If you keep the amount of gas and the volume fixed, pressure becomes P = nRT / V, so it rises as temperature rises. This happens because higher temperatures make gas molecules move faster, leading to more frequent and more energetic collisions with the container walls, which pushes the pressure up. It’s important to use Kelvin for temperature in this relationship; using Celsius would give incorrect results because the proportionality relies on an absolute temperature scale. For context, other gas laws describe different fixed relationships: Boyle’s Law looks at pressure and volume at constant temperature, Charles’s Law relates volume and temperature at constant pressure, and Avogadro’s Law connects volume with the amount of gas at constant temperature and pressure.

The Ideal Gas Law, PV = nRT, ties together pressure, volume, and temperature for an ideal gas. If you keep the amount of gas and the volume fixed, pressure becomes P = nRT / V, so it rises as temperature rises. This happens because higher temperatures make gas molecules move faster, leading to more frequent and more energetic collisions with the container walls, which pushes the pressure up. It’s important to use Kelvin for temperature in this relationship; using Celsius would give incorrect results because the proportionality relies on an absolute temperature scale. For context, other gas laws describe different fixed relationships: Boyle’s Law looks at pressure and volume at constant temperature, Charles’s Law relates volume and temperature at constant pressure, and Avogadro’s Law connects volume with the amount of gas at constant temperature and pressure.