Answer: the speed of sound in the air inside a furnace at 523 degrees Celsius is approximately 519.2 meters per second.
Step-by-step explanation:
The speed of sound in a gas depends on the temperature and the density of the gas. At higher temperatures, the speed of sound increases.
The formula for calculating the speed of sound in a gas is:
v = sqrt(γRT)
where v is the speed of sound, γ is the ratio of specific heats for the gas, R is the gas constant, and T is the temperature in Kelvin.
For air, γ is approximately 1.4 and R is approximately 287 J/(kg*K).
To convert 523 degrees Celsius to Kelvin, we add 273.15:
T = 523 + 273.15 = 796.15 K
Substituting the values into the formula, we get:
v = sqrt(1.4 * 287 * 796.15) = 519.2 m/s