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\begin{tabular}{|c|c|c|c|}
\hline
Name & Variables & Constants & Equation \\
\hline
Boyle's law & pressure, volume & \begin{tabular}{l}
temperature, \\
moles of gas
\end{tabular} & [tex]$P_1 V_1 = P_2 V_2$[/tex] \\
\hline
Charles's law & volume, temperature & \begin{tabular}{l}
pressure, \\
moles of gas
\end{tabular} & [tex]$\frac{V_1}{T_1} = \frac{V_2}{T_2}$[/tex] \\
\hline
Gay-Lussac's law & pressure, temperature & \begin{tabular}{l}
volume, \\
moles of gas
\end{tabular} & [tex]$\frac{P_1}{T_1} = \frac{P_2}{T_2}$[/tex] \\
\hline
Combined gas law & pressure, volume, temperature & moles of gas & [tex]$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$[/tex] \\
\hline
\end{tabular}

What are the variables in Gay-Lussac's law?

A. pressure and volume

B. pressure, temperature, and volume

C. pressure and temperature

D. volume, temperature, and moles of gas



Answer :

To determine the variables involved in Gay-Lussac's Law, let's first understand what Gay-Lussac's Law states.

Gay-Lussac's Law describes the relationship between pressure and temperature for a fixed amount of gas at constant volume. The law indicates that, for a given mass and constant volume of gas, the pressure exerted by the gas is directly proportional to its absolute temperature.

In detail, when the temperature of a gas increases, its pressure also increases if the volume remains constant, and vice versa. Mathematically, Gay-Lussac's Law can be represented as:
[tex]\[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \][/tex]
where:
- [tex]\( P_1 \)[/tex] and [tex]\( P_2 \)[/tex] are the initial and final pressures respectively,
- [tex]\( T_1 \)[/tex] and [tex]\( T_2 \)[/tex] are the initial and final absolute temperatures respectively.

Based on this understanding, the primary variables in Gay-Lussac's Law are pressure and temperature.

So, the variables in Gay-Lussac's Law that change are pressure and temperature.