MadSci Network: Astronomy |
Using equations from the introductory Physics text (1), we see that the
speed of sound v
is proportional to the square root of pressure
p
over
mass m
of the particle:
v = sqrt(p/m)
Since p
is proportional to temperature T
(from the
ideal gas law: pV=nRT
),
we can say that the that speed of sound is proportional to the square root
of T/m
:
v = sqrt(T/m)
So, yes, temperature and atmospheric particles will affect the way we would hear sounds on Venus.
How? Venus' temperature is about 750 K (2) and its atmosphere is
mostly carbon dioxide (C02) (2), both of which are extremely
different from
those of Earth (T= 293 K
, atmosphere is mostly nitrogen
(N2) and oxygen
(O2)). Since the mass of CO2 and the mass of
N2+O2 are
roughly equal, it would seem that the temperature most affects the speed of
sound on Venus when compared to the speed of sound on Earth.
Now vV/vE = sqrt(TV/TE) =
sqrt(2.6) = 1.6
so the speed of sound is 1.6 times higher on Venus. This means that we
would hear all sounds at higher frequencies.
Fundamentals of Physics, 5th Edition, Halliday, Resnick and Walker, 1997, p. 426--427.
Moons and Planets, Hartmann, 1999, p. 14--15.
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