The speed of sound in a gas depends on various factors, including temperature. In general, the speed of sound increases with an increase in temperature. However, at temperatures as high as 100°C, the behavior of gases can be more complex due to the possibility of phase changes or changes in gas properties.
At standard atmospheric conditions (25°C or 77°F), the speed of sound in dry air is approximately 343 meters per second (1,125 feet per second) or about 1235 kilometers per hour (767 miles per hour).
To calculate the speed of sound at a specific temperature, you can use the following formula:
v = 331.3 * √(T/273.15)
Where: v is the speed of sound in meters per second, T is the temperature in degrees Celsius.
Using this formula, at a temperature of 100°C, the speed of sound in dry air would be:
v = 331.3 * √(100/273.15) v ≈ 385.6 meters per second (1,267 feet per second) or about 1,389 kilometers per hour (863 miles per hour).
Please note that this calculation assumes standard atmospheric conditions and may not precisely account for all factors affecting the speed of sound at extreme temperatures or in non-standard environments.