Question

which formula represents charless law?

$\frac{v_1}{t_1}=\frac{v_2}{t_2}$

$\frac{p_1}{t_1}=\frac{p_2}{t_2}$

$p_1v_1 = p_2v_2$

$v_1t_1 = v_2t_2$

Explanation:

Charles's law states that for a given mass of an ideal gas at constant pressure, the volume is directly proportional to its absolute temperature. Mathematically, this is expressed as \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\), where \(V_1\) and \(V_2\) are the initial and final volumes, and \(T_1\) and \(T_2\) are the initial and final absolute temperatures.

• The formula \(\frac{P_1}{T_1}=\frac{P_2}{T_2}\) is not Charles's law. It is a form that might be confused with other gas - law manipulations (not relevant to Charles's law which focuses on volume - temperature relationship at constant pressure).
• \(P_1V_1 = P_2V_2\) is Boyle's law (relating pressure and volume at constant temperature).
• \(V_1T_1=V_2T_2\) does not follow the direct - proportionality relationship of Charles's law (\(V\propto T\) implies \(\frac{V}{T}=\text{constant}\)).

Answer:

\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)