The speed of longitudinal waves of small amplitude in an ideal gas is
C = 
where p is the ambient gas pressure and ρ is the corresponding gas density. Obtain expressions for
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. The isothermal process of an ideal gas follows pV = const; the adiabatic process of an ideal gas follows pV γ = const for a general process, its differential equation being
+ t 
= 0
Thus 
= –t 
.
With ρ = M/V, we have
= 
= 
= t 
,
Therefore
C = 
= 
.
The isothermal process: t = 1, thus c = 
.
The adiabatic process: t = γ , thus c = 
.
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