Question

Derive characteristic gas equation using Boyle,s and Charle,s law, ​

Answer 1

Derivation of the Ideal Gas Equation

According to Boyle's Law, At constant n & T, the volume bears an inverse relation with the pressure exerted by a gas. According to Charles' Law, ... When p & T are constant, then the volume of a gas bears a direct relation with the number of moles of gas.

Answer 2

Boyle's Law

• A Physicist Robert Boyle in the year 1662 discovered the Boyle's law.
• The law defines that when temperature is kept constant, the pressure of the amount of gas is conversely proportional to its volume.
• The gas equation of Boyle's Law is:

                                ⇒V∝1/P

                                ⇒V=K/P

                                ⇒VP=K

where, V = volume of gas

P = Pressure

K = gas constant

Charles's Law

• The law was given by the French Physicist Jacques Charles.
• The law tells that at constant pressure, the given volume of gas is directly related to its temperature.
• The gas equation of Charles's Law is:

                                      ⇒V∝T

                                      ⇒V=KT

                                      ⇒V/K = T

where, V = volume

T = Temperature

K = gas constant