Question

What does ${P_1}{V_1}{T_1}$ and ${P_2}{V_2}{T_2}$ mean?

Answer 1

We all have studied different laws for a gaseous system. Boyle’s law is one of them. This gas law states that pressure exerted by the gas is inversely proportional to the volume occupied at constant temperature.

Complete answer: Boyle’s law is a gas law that states that the pressure exerted by a gas of a given mass is inversely proportional to the volume occupied by the gas at a given temperature.
We can say this in other words that pressure and volume of a gas are inversely proportional to each other when the temperature and mass of the given gas is kept constant.
The mathematical relationship between volume and pressure of a gas at constant mass and temperature is as follows:
$P \propto \dfrac{1}{V}$
$P = k\dfrac{1}{V}$
Where k is a proportionality constant.
$PV = k$
According to Boyle's law, if any change occurred in volume of gas, then it will result in the change of pressure of gas at a constant temperature and mass of gas.
In other words, the product of initial pressure and initial volume of a gas is equal to the product of its final pressure and volume at constant temperature and mass of gas. This can be mathematically expressed as:
${P_1}{V_1} = {P_2}{V_2}$
Where,
${P_1}\,$ and ${V_1}$ are the initial pressure and volume of the gas.
${P_2}$ and ${V_2}$ are the final pressure and volume of the gas.
This equation is used to predict the increase in pressure exerted by a gas when the volume of the gas is changed.
In the given question, ${P_1}{V_1}{T_1}$ and ${P_2}{V_2}{T_2}$ represent the initial and final pressure, volume and temperature of the gases.

Note:
Some real life examples of Boyle’s law that when a filled balloon is squeezed which means pressure is increased and hence, the volume of the air inside the balloon decreases. Also, deep-sea fish die after reaching the surface of the water due to expansion of dissolved gasses in their blood.