Speed of sound in mixture of gases

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SUMMARY

The discussion focuses on calculating the speed of sound in a mixture of gases, specifically oxygen and ozone. The user first computes the effective heat capacity ratio, ##\gamma_{eff}##, using the formula for the molar heat capacity, $$C_V=\frac{n_1C_1 + n_2C_2}{n_1+n_2}$$. The next step involves determining the appropriate molecular mass (M) to use in the speed of sound formula, $$v=\sqrt{\frac{\gamma RT}{M}}$$. The user seeks clarification on whether to use the molar average for M, similar to how Cv is calculated.

PREREQUISITES
  • Understanding of thermodynamics, specifically heat capacity ratios.
  • Familiarity with the ideal gas law and its applications.
  • Knowledge of molecular masses of gases, particularly oxygen and ozone.
  • Basic algebra for manipulating equations related to gas mixtures.
NEXT STEPS
  • Research the calculation of effective heat capacity ratios for gas mixtures.
  • Learn about the ideal gas law and its implications for sound speed in gases.
  • Explore methods for calculating molar averages in gas mixtures.
  • Investigate the impact of different gas compositions on the speed of sound.
USEFUL FOR

Students and professionals in physics and engineering, particularly those studying acoustics, thermodynamics, or gas dynamics, will benefit from this discussion.

AdityaDev
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I am trying to calculate the speed of sound in a mixture of 2 gases like oxygen an ozone.
First step: I calculated ##\gamma_{eff}## of the mixture by first calculate the ##C_V## of mixture by using a formula $$C_V=\frac{n_1C_1 + n_2C_2}{n_1+n_2}$$

Step 2: in the formula $$v=\sqrt{\frac{\gamma RT}{M}}$$, where M is molecular mass, which M should I use?or what will be the value of M here?
 
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The molar average, like Cv.

Chet
 

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