Relationship of gas volume, pressure, & temperature.

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Multiple Choice

Relationship of gas volume, pressure, & temperature.

Explanation:
Think of how a fixed amount of gas behaves in a container when you change one variable at a time while keeping the others steady. Volume and pressure are inversely related when temperature is kept constant. If you compress the gas into a smaller space, the gas molecules collide with the container walls more often, raising pressure; expand the space and pressure drops. This is Boyle’s behavior: P ∝ 1/V (P1V1 = P2V2 for the same n and T). Volume and temperature are directly related when pressure is kept constant. Heating the gas makes it expand, so volume increases in proportion to temperature (in Kelvin). This is Charles’ behavior: V ∝ T at constant P. Pressure and temperature are directly related when volume is kept constant. Warming the gas makes molecules move faster and push harder against the walls, increasing pressure; cool it and pressure falls. This is Gay-Lussac’s behavior: P ∝ T at constant V. All three relationships align with the ideal gas law PV = nRT, which ties them together consistently.

Think of how a fixed amount of gas behaves in a container when you change one variable at a time while keeping the others steady.

Volume and pressure are inversely related when temperature is kept constant. If you compress the gas into a smaller space, the gas molecules collide with the container walls more often, raising pressure; expand the space and pressure drops. This is Boyle’s behavior: P ∝ 1/V (P1V1 = P2V2 for the same n and T).

Volume and temperature are directly related when pressure is kept constant. Heating the gas makes it expand, so volume increases in proportion to temperature (in Kelvin). This is Charles’ behavior: V ∝ T at constant P.

Pressure and temperature are directly related when volume is kept constant. Warming the gas makes molecules move faster and push harder against the walls, increasing pressure; cool it and pressure falls. This is Gay-Lussac’s behavior: P ∝ T at constant V.

All three relationships align with the ideal gas law PV = nRT, which ties them together consistently.

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