Calculate the speed of longitudinal waves in the following gases at 0^(@) C and 1 atm( = 10^(5) pa): (a) oxygen for which the bulk modulus is 1.41 xx 10^(5) pa and density is 1.43 kg//m ^(3) . (b) helium for which the bulk modulus is 1.7xx 10^(5) pa and density is 0.18 kg//m^(3) .
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speed of sound in oxygen gas 314 m/s and speed of sound in helium gas 972 m/s.
(a) oxygen for which the bulk modulus is 1.41 x 10^(5) N/m² and density is 1.43 kg//m³.
using formula,
= √{1.41 × 10^5/1.43}
= √{0.98601 × 10^5}
= √{98601}
= 314 m/s
(b) helium for which the bulk modulus is 1.7 x 10^(5) pa and density is 0.18 kg//m^(3) .
using formula,
= √{1.7 × 10^5/0.18}
= √{9.44444 × 10^5}
= √{944444}
= 971.82 ≈ 972 m/s
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