(Solved): The speed of sound, cs, in an ideal gas of molar mass M is related to the ratio of heat capaciti ...

The speed of sound, $c_s$, in an ideal gas of molar mass $M$ is related to the ratio of heat capacities $?$ by $c_s=\sqrt{?RT/M}$. a) Calculate the speed of sound in argon at $0^{?}\mathrm{C}$. b) Give an expression for the speed of sound in an ideal gas of (i) diatomic, (ii) linear triatomic, (iii) nonlinear triatomic molecules at high temperature (with translation and rotation active). c) Estimate the speed of sound in air at $25^{?}\mathrm{C}$.