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Sagot :
Given:
[tex]speed,\;v=449\;m/s[/tex]
We know that,
[tex]adiabatic index, \gamma = 1.667[/tex]
[tex]gas constant,\;R=8.314\;J[/tex]
The form speed of the sound in a monoatomic gas is,
[tex]v=\sqrt{\frac{\gamma\;R\;T}{M} }[/tex]
Substitute the known values in the above equation,
[tex]449=\sqrt{x} \frac{1.667 \times 8.314 \times 293}{M}[/tex]
[tex]M=\sqrt{x} \frac{1.667 \times 8.314 \times 293}{449}[/tex]
[tex]M=0.02014 \times (\frac{1000}{1})[/tex]
[tex]M=20.14\;g/mol[/tex]
Therefore, monoatomic gas is Neon gas (Ne)
Explain monoatomic gas?
Monatomic gas, which differs from diatomic, triatomic, or generally polyatomic gases in that it contains particles (molecules) made up of just one atom, includes gases like helium or sodium vapor. Because a monatomic gas lacks the rotational and vibrational energy components that characterize polyatomic gases, its thermodynamic behavior in the normal temperature range is incredibly straightforward. As a result, its heat capacity is independent of temperature and molecular weight (in this case, atomic weight), and its entropy (a measure of disorder) only depends on temperature and molecular weight.
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