Question
Lusaacs law formula, relationship
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Answered by
GPT-4o mini
Lusac's Law, also known as Amontons' Law for gases, states that for a given mass of gas at constant volume, the pressure of the gas is directly proportional to its absolute temperature. The relationship can be expressed with the formula:
\[
\frac{P_1}{T_1} = \frac{P_2}{T_2}
\]
Where:
- \( P_1 \) and \( P_2 \) are the initial and final pressures, respectively.
- \( T_1 \) and \( T_2 \) are the initial and final absolute temperatures (in Kelvin) of the gas, respectively.
This means that if you increase the temperature of a gas (assuming the volume remains constant), the pressure will also increase proportionally. Conversely, if the temperature decreases, the pressure will decrease. This relationship is fundamental in thermodynamics and is applicable in various practical applications, including understanding the behavior of gases in closed systems.
\[
\frac{P_1}{T_1} = \frac{P_2}{T_2}
\]
Where:
- \( P_1 \) and \( P_2 \) are the initial and final pressures, respectively.
- \( T_1 \) and \( T_2 \) are the initial and final absolute temperatures (in Kelvin) of the gas, respectively.
This means that if you increase the temperature of a gas (assuming the volume remains constant), the pressure will also increase proportionally. Conversely, if the temperature decreases, the pressure will decrease. This relationship is fundamental in thermodynamics and is applicable in various practical applications, including understanding the behavior of gases in closed systems.