Question

to solve problems using charles law, which mathematical equation should be used?
○ $p_{2}v_{1}=p_{1}v_{2}$
○ $p_{1}v_{1}=p_{2}v_{2}$
○ $\frac{p_{1}}{v_{1}}=\frac{p_{2}}{v_{2}}$
○ $\frac{v_{1}}{t_{1}}=\frac{v_{2}}{t_{2}}$

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.

• \(P_2V_1 = P_1V_2\) is not a standard gas - law equation.
• \(P_1V_1=P_2V_2\) is Boyle's Law (relating pressure \(P\) and volume \(V\) at constant temperature).
• \(\frac{P_1}{V_1}=\frac{P_2}{V_2}\) is not a valid gas - law equation.

Answer:

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