Question

If the absolute temperature of a gas is doubled then the volume of a gas is_______.

Answer 1

• According to Charles's law,
• The volume occupied by a fixed amount of gas is directly proportional to its absolute temperature if the pressure remains constant.
• $$\begin{gathered} \mathrm{If} \\ \mathrm{P}=\mathrm{constant} \\ \mathrm{V}\mathrm{is}\mathrm{directly}\mathrm{propotional}\mathrm{to}\mathrm{the}\mathrm{T} \\ \mathrm{that}\mathrm{means} \\ \frac{\mathrm{V}}{\mathrm{T}}=\mathrm{constant} \end{gathered}$$
• In a question, it is given that the
• If the Temperature becomes doubled that is
• $$\begin{gathered} {\mathrm{T}}_1=\mathrm{T} \\ {\mathrm{T}}_2=2\mathrm{T} \end{gathered}$$
• then what will be the volume
• So,
• $$\begin{gathered} {\mathrm{V}}_1=\mathrm{V} \\ {\mathrm{V}}_{2=?} \\ \mathrm{according}\mathrm{to}\mathrm{law}- \\ \frac{{\mathrm{V}}_1}{{\mathrm{T}}_1}=\frac{{\mathrm{V}}_2}{{\mathrm{T}}_2} \\ \frac{\mathrm{V}}{\mathrm{T}}=\frac{{\mathrm{V}}_2}{2\mathrm{T}} \\ {\mathrm{V}}_2=2\mathrm{V} \end{gathered}$$
• That means the volume also becomes doubled.
• Hence, If the absolute temperature of a gas is doubled then the volume of a gas is doubled.