A freely sliding massive piston is supported by a spring inside a vertical cylinder as shown. When all air is pumped out of the container, the piston remains in equilibrium with only a tiny gap between the piston and the bottom surface of the cylinder. An ideal gas at temperature `T_(0)` is slowly injected under the piston so that it rises to height `h_(0)` (see figure). Calculate the height of the piston from the bottom of the container if the temperature of the gas is slowly raised to `4 T_(0)`.

A freely sliding massive piston is supported by a spring inside a vert

1.	A freely sliding massive piston is supported by a spring inside a vertical cylinder as shown. When all air is pumped out of the container, the piston remains in equilibrium with only a tiny gap between the piston and the bottom surface of the cylinder. An ideal gas at temperature `T_(0)` is slowly injected under the piston so that it rises to height `h_(0)` (see figure). Calculate the height of the piston from the bottom of the container if the temperature of the gas is slowly raised to `4 T_(0)`.
Answer» Correct Answer - `2h_(0)`

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