Home
Class 11
PHYSICS
Taking the composition of air to be 75% ...

Taking the composition of air to be `75%` of nitrogen and `25%` of oxygen by weight, calculate the velocity of sound through air.

Text Solution

Verified by Experts

The molecular weight of a mixture is given by
`(m_1+m_2+m_3)/(M)=(m_1)/(M_1)+(m_2)/(M_2)+(m_3)/(M_3)+`….
`(75+25)/(M)=(75)/(28)+(25)/(32)`
or `M=28.9g`
`c=sqrt(gamma(RT)/(M))=sqrt((1.4xx8.3xx1000xx273)/(28.9))=331.3(m)/(s)`
Here `gamma=1.4rarr` as both the gases are diatomic
Promotional Banner

Topper's Solved these Questions

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Examples|56 Videos
  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Exercise 6.1|56 Videos
  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Interger|2 Videos
  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Comprehension Type|5 Videos

Similar Questions

Explore conceptually related problems

Taking the conposition of air to be 75% of nitrogen and 25% of oxygen by weight, calculate the velocity of sound through air.

The speed of sound in dry air at NTP is 332m//s . Assuming air as composed of 4 parts of nitrogen and one parts of oxygen in volume. Calculate the velocity of sound in oxygen under similar conditions. Given density of oxygen and nitrogen at NTP are in the ratio 16 : 14 respectively.

The speed of sound in dry air at NTP is 332 metres // sec. Assuming air as composed of 4 parts of nitrogen and one part of oxygen, calculate velocity of sound in ocygen under similar condistions, when the densities of oxygen and nitrogen at NTP are in the ration of 16:14 respectively .

What is the % composition of nitrogen by weight in air ?

Consider air is composed of 4 parts of nitrogen and 1 part of oxygen. At S.T.P., speed of sound in dry air in 332 rad/s. If the ratio of densities of oxygen and nitrogen at S.T.P. is 16 : 14, calculate the velocity of sound in nitrogen under similar conditions.

Seven grams of nitrogen is mixed with 12 g of oxygen in a tube and then sealed. Calculate the velocity of sound through the tube at 27^@C .

Calculate the velocity of sound in air at NTP. The density of air at NTP is (1.29g)/(L) . Assume air to be diatomic with gamma=1.4 . Also calculate the velocity of sound in air at 27^@C .

Air contains 23 % oxygen and 77 % nitrogen by weight. The percentage of O_(2) by volume is

Composition of air is approximately nitrogen 80 % and 20% oxygen. Find the mole fraction of oxygen in water at 1 atm if the Henry's constant K_(H)=1.8xx10^(-5)atm^(-1)

CENGAGE PHYSICS-SOUND WAVES AND DOPPLER EFFECT-Integer
  1. Taking the composition of air to be 75% of nitrogen and 25% of oxygen ...

    Text Solution

    |

  2. The average power transmitted across a cross section by two sound wave...

    Text Solution

    |

  3. Loudness of sound from an isotropic point source at a distace of 70cm ...

    Text Solution

    |

  4. Two sound sources are moving away from a stationary observer in opposi...

    Text Solution

    |

  5. The resultant loudness at a point P is n dB higher than the loudness o...

    Text Solution

    |

  6. The average power transmitted across a cross section by two sound wave...

    Text Solution

    |

  7. Loudness of sound from an isotropic point source at a distace of 70cm ...

    Text Solution

    |

  8. Two sound sources are moving away from a stationary observer in opposi...

    Text Solution

    |

  9. The resultant loudness at a point P is n dB higher than the loudness o...

    Text Solution

    |

  10. The average power transmitted across a cross section by two sound wave...

    Text Solution

    |

  11. Loudness of sound from an isotropic point source at a distace of 70cm ...

    Text Solution

    |

  12. Two sound sources are moving away from a stationary observer in opposi...

    Text Solution

    |

  13. The resultant loudness at a point P is n dB higher than the loudness o...

    Text Solution

    |

  14. The average power transmitted across a cross section by two sound wave...

    Text Solution

    |

  15. Loudness of sound from an isotropic point source at a distace of 70cm ...

    Text Solution

    |

  16. Two sound sources are moving away from a stationary observer in opposi...

    Text Solution

    |

  17. The resultant loudness at a point P is n dB higher than the loudness o...

    Text Solution

    |