Question

What happens when the volume of a fixed mass of gas is doubled?

Answer 1

Boyle's law

• The law states “ at a constant temperature, the volume of a fixed mass of gas is inversely proportional to the pressure applied”.

Volume of a fixed mass of gas is doubled:

• From Boyles Law, we know that
• $P_1{V}_1=P_2{V}_2$
  Substitute $V_2=2V_1$in the above equation as follows:-
• $$\begin{gathered} P_1\cancel{V_1}=P_{2}2\cancel{V_1} \\ {P}_1=2P_2 \\ {P}_2=\frac{P_1}{2} \end{gathered}$$
• Hence, if the volume of a fixed mass of gas is doubled, the pressure of a fixed mass of gas becomes half.