in a piston is locked in place and the cylinder is placed in a boiling water, the temperature, pressure, internal energy are all increase

if a piston is being pushed inward, would it have the same answer as above

Yes,

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If a piston is being pushed inward, the situation is slightly different compared to a locked piston. When a piston is being pushed inward, the volume inside the cylinder decreases, which means the gas inside gets compressed.

In this scenario, if the cylinder is placed in boiling water, the temperature of the gas will increase due to the heat transfer from the water to the gas in the cylinder. As the gas gets heated, its pressure will also increase. This is because an increase in temperature generally leads to an increase in pressure, assuming the volume remains constant.

The internal energy of the gas will also increase. Internal energy is the sum of the kinetic energy and potential energy of the gas molecules. As the gas molecules gain kinetic energy from the increased temperature, the internal energy of the gas increases.

To summarize, when a piston is being pushed inward, and the cylinder is placed in boiling water:
- The temperature of the gas increases.
- The pressure of the gas increases.
- The internal energy of the gas increases.

It is important to note that these observations are based on ideal conditions and certain assumptions must be made, such as the absence of heat losses or negligible changes in other variables.