What is the law that relates the variables of pressure, volume, and temperature?

The law that relates the variables of pressure, volume, and temperature in a comprehensive manner is the Combined Gas Law. This law is expressed as:

[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}

]

where (P) represents pressure, (V) represents volume, and (T) represents temperature (in Kelvin). The Combined Gas Law essentially merges Boyle's Law and Charles's Law, allowing for the simultaneous examination of how these three variables interact when a gas changes states without any addition or removal of gas particles.

Boyle's Law specifically deals with the relationship between pressure and volume at constant temperature, stating that if the temperature of a gas remains constant, the pressure and volume of the gas are inversely proportional. Charles's Law, on the other hand, examines the relationship between volume and temperature at constant pressure, stating that the volume of a gas is directly proportional to its absolute temperature.

The Ideal Gas Law extends the Combined Gas Law by incorporating the number of moles of the gas, represented as (PV = nRT). While it includes pressure, volume, and temperature, it also factors in the amount of gas,