Question

If the pressure on a gas is decreased by one-half, how large will the volume change be?

Answer 1

The ideal gas equation relates pressure, volume, temperature, numbers of moles of gas, and the gas constant as follows:
${\text{PV = nRT}}$
Using this ideal gas equation different gaseous laws given are Boyle's law, Charles law, combined gas law, and Avogadro’s law.Boyle's law relates the pressure and volume of gas at constant temperature and moles. It indicates there is an inverse relationship between the pressure and the volume of the gas.

Formula used: The Boyle's law at two different temperatures and pressure is given as follows:
${{\text{P}}_1}{{\text{V}}_1}{\text{ = }}{{\text{P}}_2}{{\text{V}}_2}$
Here, initial pressure is ${{\text{P}}_1}$, final pressure is ${{\text{P}}_2}$, initial volume is ${{\text{V}}_1}$and final volume is ${{\text{V}}_2}$.

Complete step-by-step answer: Here, we have to find out the effect of the pressure on the volume of the gas.The Boyle's law states that the volume of the gas is inversely proportional to the pressure of the gas at a constant temperature.For the same gas the product of the pressure and volume is constant hence it is given as follows:
${{\text{P}}_1}{{\text{V}}_1}{\text{ = }}{{\text{P}}_2}{{\text{V}}_2}$
Now, if the pressure is decreased by half then volume must be increased by double to obtain pressure and volume product constant.Thus, If the pressure on a gas is decreased by one-half, the volume will be doubled.

Note: Volume is the three-dimensional space occupied by an object. It is measured in units of liters, meter cube, centimeter cube, etc.The pressure is nothing but the force applied to the unit area of an object. If force has unit Newton and area is in meter then unit of the pressure is Newton per meter.The pressure is also expressed in units of Pascal, torr, mmHg, etc.The law relates the pressure and volume is Boyle's law.