The cylindrical vessel shown in the figure has two pistons in it. The piston on the left touches a spring attached to the wall of the vessel. The wall has a hole in it. The volume of the air between the pistons is  $2000c{m}^3$ and its pressure is initially equal to the external atmospheric pressure of  ${10}^{5}N/m^2$. The piston on the right is slowly pressed inwards, maintaining constant temperature, until its inner surface is at the position where the inner surface of the piston on the left was initially. What will be the final volume of the air between the pistons? 

The cross–sectional area of the cylinder is  $100c{m}^2$, and a force of 10 N compresses the spring by 1 cm. If  $V=x\times {10}^{-4}{m}^3$  find $\frac{x}{6}$  (nearest integer)