1. What is the Speed of Sound Formula?

The speed of sound formula calculates how fast sound waves travel through a gas medium. It depends on the adiabatic index, gas constant, temperature, and molar mass of the gas.

2. How Does the Calculator Work?

The calculator uses the speed of sound formula:

Where:

• \( v \) — Speed of sound (m/s)
• \( \gamma \) — Adiabatic index (unitless)
• \( R \) — Gas constant (8.314 J/mol·K)
• \( T \) — Temperature (K)
• \( M \) — Molar mass (kg/mol)

Explanation: The formula shows that sound travels faster in lighter gases, at higher temperatures, and in gases with higher adiabatic indices.

3. Importance of Speed of Sound Calculation

Details: Calculating the speed of sound is important in various fields including acoustics, aeronautics, meteorology, and engineering design. It helps in understanding how sound propagates through different media and under varying conditions.

4. Using the Calculator

Tips: Enter the adiabatic index (γ), gas constant (R), temperature in Kelvin (T), and molar mass in kg/mol (M). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical speed of sound in air?
A: At 20°C (293K), the speed of sound in dry air is approximately 343 m/s.

Q2: How does temperature affect the speed of sound?
A: The speed of sound increases with temperature, as shown by the direct relationship in the formula.

Q3: Why does sound travel faster in helium?
A: Helium has a lower molar mass than air, which results in a higher speed of sound according to the formula.

Q4: What is the adiabatic index?
A: The adiabatic index (γ) is the ratio of specific heats (Cp/Cv) and is approximately 1.4 for diatomic gases like air.

Q5: Can this formula be used for liquids and solids?
A: No, this formula is specifically for ideal gases. Different formulas are used for liquids and solids.