The air tight and smooth pistons of a cylindrical vessel are connected with a string, as shown. Initially, pressure and temperature of the gas are ${\mathrm{P}}_0$ and ${\mathrm{T}}_0$. The atmospheric pressure is also ${\mathrm{P}}_0$. At a later time. tension in the string is $\frac{3}{8}{\mathrm{P}}_0\mathrm{A}$ where A is the crosssectional are of the cylinder. At this time, the temperature of the gas has become:

• A

  $\frac{3}{8}{\mathrm{T}}_0$

• B

  $\frac{3}{4}{\mathrm{T}}_0$

• C

  $\frac{11}{8}{\mathrm{T}}_0$

• D

  $\frac{13}{8}{\mathrm{T}}_0$