Import Question JSON

$\text{Gay Lussac's law states that at constant volume, the pressure of a fixed amount of a gas varies directly with the temperature.}$ $P \propto T$ $\frac{P}{T} = \text{Constant}$ $\text{From the ideal gas equation, } PV = nRT \text{, we can write } V = \frac{nRT}{P}\text{.}$ $\text{For a fixed temperature (e.g., draw a vertical line on the graph), as we move from } V_1 \text{ to } V_4 \text{, the pressure decreases.}$ $\text{Since } V = \frac{nRT}{P} \text{, at constant temperature, if pressure (P) decreases, volume (V) must increase.}$ $\text{Therefore, for a given temperature, } P_1 > P_2 > P_3 > P_4 \text{ corresponds to } V_1 < V_2 < V_3 < V_4 \text{.}$ $\text{Alternatively, consider a constant pressure (horizontal line). As we move from } V_1 \text{ to } V_4 \text{, the temperature increases.}$ $\text{Since } V \propto T \text{ at constant pressure (Charles' Law), if temperature increases, volume increases.}$ $\text{Thus, for a fixed pressure, since } T_1 < T_2 < T_3 < T_4 \text{ (implied by the slopes as } P/T \text{ is related to } 1/V \text{), it means } V_1 < V_2 < V_3 < V_4 \text{.}$ $\text{Here, option third is the correct answer.}$