🔍 Key Concepts

• Adiabatic process (no heat added or removed) and how it differs from an isothermal process • Basic pressure–volume (P–V) relationship for a fixed amount of gas (Boyle’s Law) • What happens to gas temperature during compression or expansion in an adiabatic process

💭 Think About

• First, recall for a fixed amount of gas at constant temperature: when pressure goes up, what normally happens to volume? Then think how adiabatic (no heat exchange) affects that relationship. • Consider compressing a gas quickly in an insulated cylinder: what happens to its pressure and volume? Does volume increase or decrease as pressure rises? • Look at the options and eliminate any that clearly contradict the idea that pressure and volume are inversely related for a fixed quantity of gas.

✅ Before You Answer

• Verify whether pressure and volume for a fixed mass of gas move in the same or opposite directions in an adiabatic process. • Check if any option suggests that both pressure and volume increase or both decrease together; compare that to what you know from Boyle’s Law. • Confirm whether an “exponential” change in pressure with volume is consistent with the general form of the adiabatic equation, even if you don’t recall the exact formula.