π Understanding Gay-Lussac's Law: Pressure vs. Temperature
Gay-Lussac's Law describes the relationship between the pressure and temperature of a gas when the volume and number of moles are kept constant. Simply put, as the temperature of a gas increases, its pressure also increases proportionally, and vice versa. Let's dive in and compare it to Boyle's Law!
π‘οΈ Gay-Lussac's Law Defined
Gay-Lussac's Law states that the pressure of a gas is directly proportional to its absolute temperature when the volume and amount of gas are held constant. Mathematically, it's expressed as:
$\frac{P_1}{T_1} = \frac{P_2}{T_2}$
Where:
- π $P_1$ is the initial pressure.
- π $T_1$ is the initial absolute temperature (in Kelvin).
- π $P_2$ is the final pressure.
- π₯ $T_2$ is the final absolute temperature (in Kelvin).
π¨ Boyle's Law Defined
Boyle's Law, on the other hand, states that the pressure and volume of a gas are inversely proportional when the temperature and amount of gas are held constant. The mathematical expression is:
$P_1V_1 = P_2V_2$
Where:
- π¦ $V_1$ is the initial volume.
- π $V_2$ is the final volume.
βοΈ Gay-Lussac's Law vs. Boyle's Law: A Comparison
| Feature |
Gay-Lussac's Law |
Boyle's Law |
| Variables Related |
Pressure and Temperature |
Pressure and Volume |
| Relationship |
Directly Proportional |
Inversely Proportional |
| Constants |
Volume and Amount of Gas |
Temperature and Amount of Gas |
| Formula |
$\frac{P_1}{T_1} = \frac{P_2}{T_2}$ |
$P_1V_1 = P_2V_2$ |
π Key Takeaways
- π₯ Direct Relationship:π‘οΈ As temperature increases, pressure increases proportionally in Gay-Lussac's Law.
- π§ Inverse Relationship: π¦ As pressure increases, volume decreases inversely in Boyle's Law.
- βοΈ Constant Variables: π§ͺ Understand what variables need to remain constant for each law to apply.
