The atoms in gas (gas constant R = 8.31 J/mol K) can be treated as classical particles if their...
Question:
The atoms in gas (gas constant R = 8.31 J/mol K) can be treated as classical particles if their de Broglie wavelength L is much smaller than the average separation between the particles d.
Consider monatomic helium gas ({eq}mHec^{2} {/eq} = 3727 MeV, molar mass 4 g/mol) at 1.0 atmosphere of pressure ({eq}1.0 \cdot 10^{5} {/eq}) and the room temperature (T = 293 K)
a. Estimate d for this gas ({eq}d = (\frac{atoms}{vol})^{-\frac{1}{3}} {/eq})
b. Find the average de Broglie wavelength L of the atoms in the gas.
c. Find the pressure that would make d equal to L from b.
d. Find the temperature that would make the average L equal to d from part a.
Kinetic Theory of Gas:
It explains the motion of the particles of gas at the microscopic level. The properties of the gas at the macroscopic level are the average of the property of individual particles at the microscopic level.
Answer and Explanation: 1
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Given Data
- The de Broglie wavelength is : L.
- The molar mass of the helium is: {eq}{m_{He}} = 4\;{\rm{g}}/{\rm{mol}} {/eq}.
- The room temperature of...
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Learn what the properties of gases are and discover the kinetic molecular theory of gases. Understand the characteristics of ideal gases and know examples of the properties of gases.
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