No, the temperature at various points does not remain constant when sound waves travel through air. The propagation of sound waves in a medium like air involves the transfer of energy, which can lead to temperature changes in the surrounding environment.
When a sound wave passes through a region of air, it compresses and rarefies the air particles as it propagates. This compression and rarefaction process involves the transfer of energy between the sound wave and the air particles. During compression, the air particles are pushed closer together, resulting in an increase in pressure and temperature. Conversely, during rarefaction, the air particles spread apart, leading to a decrease in pressure and temperature.
These pressure and temperature changes occur cyclically as the sound wave passes through an area. However, it's important to note that the temperature changes associated with sound waves in air are typically very small and not easily detectable without sensitive equipment. The changes are generally in the range of a few thousandths of a degree Celsius.
In summary, when sound waves travel through air, they cause small variations in temperature due to the compression and rarefaction of air particles, but these changes are minimal and do not have a significant impact on the overall temperature at various points in the environment.