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Estimate the speed of sound in air at standard temperature and pressure. The mass of 1 mole of air is `29.0xx10^(-3)kg`, `lambda` for air `=7//5`. |
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Answer» At S.T.P, `P=1` atmosphere `=1.01xx10^(5)N//m^(2)` As mass of 1 mole of air `=29.0xx10^(-3)kg` and its volume is 22.4litre `=22.4xx10^(-3)m^(3)` `:.` density of air, `rho=(M)/(V)=(29.0xx10^(-3))/(22.4xx10^(-3))=1.29kg//m^(3)` As , `v=sqrt((lambdaP)/(rho))` `:. v=sqrt((7)/(5)xx(1.01xx10^(5))/(1.29))=33.1m//s` |
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