The question said find the speed of sound at a certain temperature. What formula would you use?
Could someone tell me the formula so I could do the questions that correspond.
It depends upon the gas as well as the temperature. Do they want the speed in air.
The accurate formula for air is
V = sqrt(1.4 RT/M)
where T is the absolute temperature, R is the molar gas constant (8.317 J/mole K, and M is the molecular weight. (Use M = 0.029 kg/mole for air)
With those units, V will be in m/s
For a limited range of temperture, there are simpler linearized equations for the speed of sound. You can easily find them online. Some are at
http://en.wikipedia.org/wiki/Speed_of_sound
Thank you :)
The "1.4" in that formula has more that two significant figures. It is exactly the fraction 7/5, a result that can be derived from thermodynamics of diatomic gases. For monatomic gases the value of the constant is 5/3.
To find the speed of sound at a specific temperature, you can use the formula:
Speed of Sound = √(γ * R * T)
Where:
- Speed of Sound is the velocity at which sound travels through a medium (in meters per second).
- γ (gamma) is the adiabatic index or heat capacity ratio of the gas.
- R is the universal gas constant.
- T is the temperature in Kelvin.
The value of γ depends on the type of gas through which sound is traveling. For example, in dry air, γ is approximately 1.4. The value of R is constant and equal to 8.314 J/(mol·K).
To use the formula, you first need to convert the temperature to Kelvin. To convert Celsius to Kelvin, add 273.15 to the Celsius value. Once you have the temperature in Kelvin, you can substitute it into the formula along with the values of γ and R for the specific gas you are dealing with.
Remember to double-check the units of your values and ensure they are consistent throughout the calculation.