The gas equation \(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\) is made up of Charles’ Law and _________ law...
The gas equation \(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\) is made up of Charles’ Law and _________ law
- A) Le Chateliers
- B) Gay-Lussac
- C) Boyle
- D) Newton
Correct Answer: C) Boyle
Explanation
The gas equation \(\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\) is known as the Combined Gas Law, which is derived from two fundamental gas laws: Charles' Law and Boyle's Law.
Charles' Law states that the volume of a given amount of gas is directly proportional to its temperature, provided that the pressure remains constant. Mathematically, it can be represented as:
\[\frac{V_1}{T_1} = \frac{V_2}{T_2}\]Boyle's Law states that the pressure of a given amount of gas is inversely proportional to its volume, provided that the temperature remains constant. Mathematically, it can be represented as:
\[P_1V_1 = P_2V_2\]When both Charles' Law and Boyle's Law are combined, we get the Combined Gas Law:
\[\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\]So, the correct answer isOption C: Boyle's Law.