Helium is a monatomic gas that has a density of 0.179 kg//m^(3) at a pressure of 76 cm of mercury and a temperature of 0^(@) C . Find the speed of compressional waves (sound) in helium at this temperature and pressure.
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Thus the speed of compressional waves is V = 970.8 m/s
Explanation:
Given data:
- Density of mono atomic gas "γ" = 0.179 kg/m^3
- Pressure "P" = 76 cm Hg
- Temperature "T" = 0° C
We Know that
Speed of sound in a gas:
v= γP/ρ
where P = pressure of gas
γ = ratio of specific heats
ρ = density of gas
γ = 1.67 (as He is a mono-atomic gas)
Therefore speed of sound in He gas
V = √1.67 x 1.01 x 10^5 / 0.179
V = 970.8 m/s
Thus the speed of compressional waves is V = 970.8 m/s
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