At a temperature of 27 degreeC, what is the speed of longitudinal waves in argon

Question

At a temperature of 27 degreeC, what is the speed of longitudinal waves in argon (molar mass 39.9 g/mol)? The ratio of heat capacities for argon is gamma = 1.67. v = 323 m/s Compare your answer for part A with the speed in air at the same temperature. The ratio of heat capacities for air is gamma = 1.40. Compare your answer for part B with the speed in air at the same temperature. The ratio of heat capacities for air is gamma = 1.40. Compare your answer for part C with the speed in air at the same temperature. The ratio of heat capacities for air is gamma = 1.40. At a temperature of 27 degreeC, what is the speed of longitudinal waves in hydrogen (molar mass 2.02 g/mol)? The ratio of heat capacities for argon is gamma = 1.67. v = 1320 m/s At a temperature of 27 degreeC, what is the speed of longitudinal waves in helium (molar mass 4.00 g/mol)? The ratio of heat capacities for argon is gamma = 1.67. v = 1020 m/s

Explanation / Answer

Just eneter the numbers
D) 3.8

E) 2.938

F) 0.93

molar mass of air, M = 28.97 g/mol

= 28.97*10^-3 kg/mol

velosity of sound in air, V_air = sqrt(gamma*R*T/M)

= sqrt(1.4*8.314*(27+273)/(28.97*10^-3))

= 347.2 m/s

D) V = 1320 m/s

= 1320*V_air/347.2

= 3.8*_vair

or

V/V_air = 3.8 <<<<----------Answer

E)
V = 1020 m/s

= 1020*V_air/347.2

= 2.938*v_air

V/V_air = 2.938 <<<<----------Answer

F) V = 323 m/s

= 323*V_air/347.2

= 0.93*v_air

v/V_air = 0.93 <<<<<------Answer

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