Question:
The average molecular speed is greatest in which of the following gas samples ?
The average molecular speed is greatest in which of the following gas samples ?
Updated On: Jul 7, 2022
- 1.0 mole $N_2$ at 560 K
- 0.50 mole of Neat 500 K
- 0.20 mole $CO_2$ at 440 K
- 2.0 mole of He at 140 K
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The Correct Option is D
Solution and Explanation
$\bar{\upsilon} (Ne) = \left( \frac{8R \times 560}{\pi \times 28} \right) ^{\frac{1}{2}}$
(A) $\bar{\upsilon} (N_2) = \left( \frac{8R \times 560}{\pi \times 28} \right) ^{\frac{1}{2}} = \left( \frac{160 \, R}{\pi}\right)^{\frac{1}{2}}$
(B) $\bar{\upsilon} (Ne) = \left( \frac{8R \times 500}{\pi \times 20} \right) ^{\frac{1}{2}} = \left( \frac{200 \, R}{\pi}\right)^{\frac{1}{2}}$
(C) $\bar{\upsilon} (CO_2) = \left( \frac{8R \times 440}{\pi \times 44} \right) ^{\frac{1}{2}} = \left( \frac{80 \, R}{\pi}\right)^{\frac{1}{2}}$
(D) $\bar{\upsilon} (He) = \left( \frac{8R \times 140}{\pi \times 4} \right) ^{\frac{1}{2}} = \left( \frac{280 \, R}{\pi}\right)^{\frac{1}{2}}$
Thus, $\upsilon(He)$ is maximum .
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Notes on intermolecular forces
Concepts Used:
Intermolecular Forces
The attractive and repulsive forces that arise between the molecules of a substance are termed as the intermolecular forces. These forces are responsible for the physical and chemical properties of the matter. Intermolecular forces or IMF are also known as the electrostatic forces between molecules and atoms.
Intermolecular forces exist between the molecules and affect the physical properties of a substance. The intermolecular forces of attraction are the result of the reaction between the protons or positive compounds and the electrons or negative compounds of a molecule.
Intermolecular forces examples: - Ion-dipole forces, ion-induced dipole forces, and hydrogen bonding.
The intermolecular forces depend on the following interactions:
- Dipole-Dipole Interactions
- Ion-Dipole Interactions
- Ion Induced Dipole Interactions
- Dipole Induced Dipole Interaction
- Dispersion Forces or London Forces