Question

check the box for the law each statement or equation describes.

combined gas law
gay-lussacs law
charles law

as temperature increases, volume increases.
$\frac{p_1v_1}{t_1} = \frac{p_2v_2}{t_2}$
as pressure decreases, temperature decreases.
$\frac{v_1}{t_1} = \frac{v_2}{t_2}$
pressure is the constant.
volume is the constant.
the product of the pressure and volume of a fixed quantity of gas varies directly with its absolute temperature
$\frac{p_1}{t_1} = \frac{p_2}{t_2}$

Explanation:

1. As temperature increases, volume increases: This describes Charles's Law, which states volume and absolute temperature are directly proportional at constant pressure.
2. $\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$: This is the mathematical form of the Combined Gas Law, which combines Boyle's, Charles's, and Gay-Lussac's laws.
3. As pressure decreases, temperature decreases: This describes Gay-Lussac's Law, which states pressure and absolute temperature are directly proportional at constant volume.
4. $\frac{V_1}{T_1} = \frac{V_2}{T_2}$: This is the mathematical form of Charles's Law, showing the direct relationship between volume and temperature at constant pressure.
5. Pressure is the constant: This is the condition for Charles's Law, which only applies when pressure is held fixed.
6. Volume is the constant: This is the condition for Gay-Lussac's Law, which only applies when volume is held fixed.
7. The product of the pressure and volume of a fixed quantity of gas varies directly with its absolute temperature: This is the definition of the Combined Gas Law, which relates $P$, $V$, and $T$ for a fixed amount of gas.
8. $\frac{P_1}{T_1} = \frac{P_2}{T_2}$: This is the mathematical form of Gay-Lussac's Law, showing the direct relationship between pressure and temperature at constant volume.

Answer:

Statement/Equation	Combined Gas Law	Gay-Lussac's Law	Charles's Law
$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$	$\boxtimes$	$\square$	$\square$
As pressure decreases, temperature decreases.	$\square$	$\boxtimes$	$\square$
$\frac{V_1}{T_1} = \frac{V_2}{T_2}$	$\square$	$\square$	$\boxtimes$
Pressure is the constant.	$\square$	$\square$	$\boxtimes$
Volume is the constant.	$\square$	$\boxtimes$	$\square$
The product of the pressure and volume of a fixed quantity of gas varies directly with its absolute temperature	$\boxtimes$	$\square$	$\square$
$\frac{P_1}{T_1} = \frac{P_2}{T_2}$	$\square$	$\boxtimes$	$\square$