Which equation represents Gay-Lussac's law?

The equation representing Gay-Lussac's law is clearly articulated by the formula that relates the pressure of a gas to its temperature. According to Gay-Lussac's law, the pressure of a given mass of gas is directly proportional to its absolute temperature when the volume is held constant. This relationship is effectively summarized in the equation ( p_1/t_1 = p_2/t_2 ), which demonstrates that if you increase the temperature, the pressure of the gas also increases, provided the volume does not change.

This law is particularly important in understanding how temperature changes can affect the behavior of gases in various conditions, especially in closed systems where the volume cannot be adjusted. This direct proportionality is crucial for applications in both theoretical and practical chemistry, such as predicting how gas behaves in response to thermal changes.

The other options refer to different gas laws: one describes Charles's law (gas volume and temperature relationship), another corresponds to Boyle's law (gas pressure and volume relationship), and the last one expresses the general gas law but does not pertain to the specific relation outlined by Gay-Lussac’s law. Thus, the equation ( p_1/t_1 = p_2/t_2 ) accurately encapsulates the essence