identifying charless law\nwhich formula represents charless law?\n\\(\\frac{p_1}{t_1} = \\frac{p_2}{t_2}\\)\n…
identifying charless law\nwhich formula represents charless law?\n\\(\\frac{p_1}{t_1} = \\frac{p_2}{t_2}\\)\n\\(\\frac{v_1}{t_1} = \\frac{v_2}{t_2}\\)\n\\(\\frac{p_1v_1}{t_1} = \\frac{p_2v_2}{t_2}\\)\n\\(p_1v_1 = p_2v_2\\)
Answer
Explanation:
Step1: Recall Charles's Law
Charles's Law states that for a fixed amount of gas at constant pressure, the volume ( V ) is directly proportional to the absolute temperature ( T ). Mathematically, this is expressed as ( \frac{V_1}{T_1} = \frac{V_2}{T_2} ) (when pressure is constant).
Step2: Analyze Each Option
- First option: ( \frac{P_1}{T_1} = \frac{P_2}{T_2} ) relates pressure and temperature (Gay - Lussac's Law, at constant volume), not Charles's Law.
- Second option: ( \frac{V_1}{T_1} = \frac{V_2}{T_2} ) matches the definition of Charles's Law (volume - temperature relationship at constant pressure).
- Third option: ( \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} ) is the Ideal Gas Law in combined form, not Charles's Law.
- Fourth option: ( P_1V_1 = P_2V_2 ) is Boyle's Law (pressure - volume relationship at constant temperature), not Charles's Law.