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Speed of sound in air at 27° C is 348.2 m/s find the speed of sound in carbon dioxide at 27° C |
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Answer» Answer: speed of sound in CO2= 276.89 m/s Explanation: Formula for velocity of sound in any gas medium =√¥RT/M where gamma(¥) is ratio of specific heat (Cp/Cv) R is universal gas constant T is absolute temperature (i.e, in Kelvin) and M is molecular mass of gas in kg Gamma(¥) is also = 1 + 2/f..... where f is degree of freedom so value for f for both air(NITROGEN as it is more in content) and carbon dioxide is 5 as N2 is diatomic and CO2 is triatomic( linear). so as f is same for both N2(or air) and CO2 we can keep GAAMA as such as it will cancel out while solving So velocity of sound in air= √¥RT/ 28 × 10^-3 where 28×10^-3 is molecular weight of nitrogen in kg and velocity of sound in CO2= √¥RT/44×10^-3 where 44×10^-3 is molecular weight of CO2 in kg Then divide... velocity of sound in CO2/ velocity of sound in air = (√¥RT/44 × 10^-3) / ( ¥RT/28 × 10^-3) as already given that velocity of sound in air=348.2 m/s so you can keep that value in above equation and then you will get finally the velocity of sound in carbon dioxide i.e. 276.89 m/s I HOPE it will help ...Please mark it as BRAINLIEST if it is right
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