Isothermally a given mass of gas at a pressure of 2 atm was compressed from 1.5 liters to 1. Determine its final pressure.

An isothermal process is a process that takes place at a constant temperature. For a constant gas mass, the equation of the isothermal process has the form:

P1 * V1 = P2 * V2.

Let’s translate the data into the SI system:

1 atm = 101325 Pa,

1 l = 0.001 cubic meters

1.5 l = 0.0015 cubic meters

Let us express P2 from the equation of the isothermal process:

P2 = (P1 * V1) / V2,

P2 = (101325 Pa * 0.0015 cubic meters) / 0.001 cubic meters = 151987.5 Pa = 1.5 atm.