Consider the sound wave travelling in ideal gases of He, CH₄, and CO₂. All the gases have the same ratio P/ρ,…

Question

Consider the sound wave travelling in ideal gases of $$\mathrm{He}$$, $$\mathrm{CH}_{4}$$, and $$\mathrm{CO}_{2}$$. All the gases have the same ratio $$\frac{\mathrm{P}}{\rho}$$, where $$P$$ is the pressure and $$\rho$$ is the density. The ratio of the speed of sound through the gases $$\mathrm{v}_{\mathrm{He}}: \mathrm{v}_{\mathrm{CH}_{4}}: \mathrm{v}_{\mathrm{CO}_{2}}$$ is given by

Accepted Answer

C. $$\sqrt{\frac{5}{3}}: \sqrt{\frac{4}{3}}: \sqrt{\frac{4}{3}}$$

Answer

A. $$\sqrt{\frac{7}{5}}: \sqrt{\frac{5}{3}}: \sqrt{\frac{4}{3}}$$

Answer

B. $$\sqrt{\frac{5}{3}}: \sqrt{\frac{4}{3}}: \sqrt{\frac{7}{5}}$$

Answer

D. $$\sqrt{\frac{4}{3}}: \sqrt{\frac{5}{3}}: \sqrt{\frac{7}{5}}$$

Answer & step-by-step solution

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