Final answer:
The speed of sound in air increases with temperature, and at 20°C it is approximately 343 m/s. For a 1°C increase from 20°C, the speed of sound is estimated to increase by about 0.6 m/s, resulting in a new speed of approximately 343.6 m/s.
Step-by-step explanation:
The speed of sound in air is known to increase with the temperature of the air. Using the information provided, at 20°C the speed of sound is 343 m/s. When considering the relationship between temperature and the speed of sound, based on the ideal gas laws and the concept that the speed depends on the square root of the absolute temperature (K), we can estimate the increase in speed with temperature.
To calculate the change in speed for a 1°C increase, we can use the calculated speeds at 0°C (331 m/s) and at 20.0°C (343 m/s) to determine an approximate rate of change. Between 0°C and 20°C, there is a 12 m/s increase over 20 degrees, which equates to 0.6 m/s per degree. Therefore, if the temperature rises by 1°C from 20°C to 21°C, we can approximate the speed of sound to increase by about 0.6 m/s, giving a new speed of approximately 343.6 m/s.