Gay-Lussac's Law expresses the relationship between pressure and temperature at constant volume. Which equation correctly represents this law?

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Multiple Choice

Gay-Lussac's Law expresses the relationship between pressure and temperature at constant volume. Which equation correctly represents this law?

Explanation:
At constant volume, pressure changes directly with temperature. When temperature is in Kelvin, P is proportional to T, so the ratio P/T remains the same between two states. That gives P1/T1 = P2/T2. The Kelvin scale is essential here because it uses an absolute zero; using Celsius would distort the proportionality. This form aligns with PV = nRT, where V and n are fixed, so P ∝ T. If the temperature doubles while volume and amount of gas stay the same, the pressure doubles as well. The other possibilities mix variables from different gas laws: one would imply a product of P and T is constant (not the direct proportionality), another is Boyle’s law relating P and V at constant T, and another is Charles’ law relating V and T at constant P.

At constant volume, pressure changes directly with temperature. When temperature is in Kelvin, P is proportional to T, so the ratio P/T remains the same between two states. That gives P1/T1 = P2/T2. The Kelvin scale is essential here because it uses an absolute zero; using Celsius would distort the proportionality.

This form aligns with PV = nRT, where V and n are fixed, so P ∝ T. If the temperature doubles while volume and amount of gas stay the same, the pressure doubles as well.

The other possibilities mix variables from different gas laws: one would imply a product of P and T is constant (not the direct proportionality), another is Boyle’s law relating P and V at constant T, and another is Charles’ law relating V and T at constant P.

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