Question

to solve problems using charles law, which mathematical equation should be used?

$p_1v_1 = p_2v_2$

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

$p_2v_1 = p_1v_2$

$\frac{p_1}{v_1} = \frac{p_2}{v_2}$

Explanation:

Charles' Law states that for a given mass of gas at constant pressure, the volume \(V\) is directly proportional to the absolute temperature \(T\). Mathematically, this is expressed as \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\), where \(V_1\) and \(T_1\) are the initial volume and temperature, and \(V_2\) and \(T_2\) are the final volume and temperature.

• \(P_1V_1 = P_2V_2\) is Boyle's Law (constant temperature).
• \(P_2V_1 = P_1V_2\) is not a standard gas law.
• \(\frac{P_1}{V_1}=\frac{P_2}{V_2}\) is not a recognized gas law formula.

Answer:

\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\) (the second option)