Final answer:
True, a hemispherical combustion chamber does have a dome shape. In a divided cylinder with equal gas molecules but different temperatures, the movable disk will move towards the cooler side as the gas from the hotter side exerts more pressure.
Step-by-step explanation:
The statement that a hemispherical combustion chamber has a dome shape is true. A hemisphere is half of a spherical shape, much like a dome. In the context of a combustion chamber, this design is commonly used in internal combustion engines for its efficiency in burning fuel.
Regarding the second question, if a cylinder is divided in half by a movable disk, and each half contains an equal number of gas molecules with one half at a higher temperature than the other, the gas in the hotter half will have higher pressure due to increased kinetic energy of the molecules. Since gases always flow from higher to lower pressure, the movable disk will move towards the cooler half until the pressures equalize, assuming the volume can change. This behavior is described by the gas laws, particularly Gay-Lussac's law which states that pressure of a gas is directly proportional to its absolute temperature when the volume is constant.