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Find the minimum distance for echo in an...

Find the minimum distance for echo in an atmosphere completely filled with dry `N_2` in a temperature of 300 K. Given `gamma` of dry `N_2 = 1.4, R = 8.314 "mol"^(-1) K^(-1)`

Text Solution

Verified by Experts

`v=sqrt((gamma P)/(P))`
`PV=nRT`
`(P)/(PT)=n/V implies (PM)/(RT)=rho` where M is the molar mass in (kg).
`v=sqrt((gamma PRT)/(PM))=sqrt((gamma RT)/(M))`
`=sqrt((1.4xx8.314xx300)/(0.028))=353.14 m//s`
`(2d)/(v) ge t` or `d ge (vt)/(2)`
`t=0.1 s, d_("min")=(vt)/(2)=17.66 m`
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