Physics

Problem

In an acoustic experiment the speed of sound in a sample of neon gas at

300\,\text{K}

and

1\,\text{atm}

is measured to be

950\,\text{m\,s}^{-1}

. The molar mass of neon is

20.2\,\text{g\,mol}^{-1}

. a. (i) Determine the value of

\gamma

for neon implied by the measured speed. b. (ii) Theoretically, an ideal monatomic gas has

\gamma=5/3

. Compare the experimental value obtained in part (i) with the theoretical value and suggest two factors that might account for any difference. c. (iii) Using the value of

\gamma

found in part (i), estimate the speed of sound in the same sample when it is heated at constant pressure to

500\,\text{K}

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