Ideal Gas Law relation

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Multiple Choice

Ideal Gas Law relation

Think about how the gas behaves when you compare two different states of the same amount of gas. From PV = nRT, if you use the same n and R for both states, you get P1V1/T1 = nR and P2V2/T2 = nR. Since both equal nR, they must be equal to each other: P1V1/T1 = P2V2/T2. This is the two-state form of the gas law and is the right way to relate how pressure, volume, and temperature change from one state to another. That’s why this option works best: it directly ties the conditions of two states together, without needing to know n or R. The other expressions describe the law for a single state (PV = nRT or P = nRT/V) or don’t express a valid state-to-state relationship, so they don’t capture how changes in one state relate to the other.

Think about how the gas behaves when you compare two different states of the same amount of gas. From PV = nRT, if you use the same n and R for both states, you get P1V1/T1 = nR and P2V2/T2 = nR. Since both equal nR, they must be equal to each other: P1V1/T1 = P2V2/T2. This is the two-state form of the gas law and is the right way to relate how pressure, volume, and temperature change from one state to another.

That’s why this option works best: it directly ties the conditions of two states together, without needing to know n or R. The other expressions describe the law for a single state (PV = nRT or P = nRT/V) or don’t express a valid state-to-state relationship, so they don’t capture how changes in one state relate to the other.

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