1.

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`.

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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