Which 3 laws combine to make the combined gas law? a. charles’ law, dalton’s law, and newton’s law b. dalton’s law, gay-lussac’s law, and newton’s law c. boyle’s law, charles’ law, and gay-lussac’s law d. boyle’s law, dalton’s law, and charles’ law
The Correct Answer and Explanation is :
The correct answer is c. Boyle’s law, Charles’ law, and Gay-Lussac’s law.
Explanation:
The Combined Gas Law is a fundamental principle in chemistry that describes the relationship between pressure, volume, and temperature of a gas. It is derived from three individual gas laws: Boyle’s Law, Charles’ Law, and Gay-Lussac’s Law.
- Boyle’s Law states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. This means that as the volume of a gas decreases, its pressure increases, and vice versa. Mathematically, it can be expressed as:
[
P_1V_1 = P_2V_2
]
where ( P ) represents pressure and ( V ) represents volume. - Charles’ Law asserts that the volume of a gas is directly proportional to its absolute temperature when pressure is constant. This indicates that as temperature increases, so does the volume of the gas. The mathematical representation of this law is:
[
\frac{V_1}{T_1} = \frac{V_2}{T_2}
]
where ( T ) represents temperature in Kelvin. - Gay-Lussac’s Law states that the pressure of a gas is directly proportional to its absolute temperature when volume is constant. This law emphasizes that if the temperature of a gas increases, its pressure also increases. The mathematical form is:
[
\frac{P_1}{T_1} = \frac{P_2}{T_2}
]
Combining these three laws, the Combined Gas Law can be expressed as:
[
\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}
]
This equation allows for the calculation of one variable when the others are known, making it a powerful tool in understanding gas behavior under varying conditions. The Combined Gas Law is essential for various applications, including engineering, meteorology, and chemistry, allowing for predictions and calculations related to gas properties in real-world scenarios.