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14 questions · self-marked practice — reveal the answer and mark yourself.

Question 15 Marks
What is mean free path? Explain and obtain its expression and prove that $\lambda \propto T$ and $\lambda \propto \lambda_{ P }.$
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Question 25 Marks
What is the law of equal division of energy, prove it the tatal energy of $\text n$ moles of gas molecules is $\text E =\frac{ 1 }{ 2 } \text {fnRT}$ energy. Explain the specific heats of monatomic, diatomic and triatomic gases from uniform distribution.
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Question 45 Marks
Write which two modifications van der Walls made in the equation of state, explain these by defining critical temperature critical pressure and critical volume and obtain their values.
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Question 55 Marks
How does the behaviour of a real gas differ from the behaviour of an ideal gas? Under what conditions does a real gas behave like an ideal gas?
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Question 65 Marks
On the basis of molecular kinetic theory of gases, derive the laws of Boyle, Charles, pressure law or Gay-Lussac, Graham's diffusion, Dalton's partial pressure, Avogadro's laws for any gas.
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Question 75 Marks
What is the ideal gas equation? Derive the equation of state for an ideal gas from the molecular kinetic theory of gases.
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Question 85 Marks
Prove that the root mean square velocity of a molecule is absolute, is directly proportional to the square root of temperature and the mean kinetic energy is directly proportional to absolute temperature.
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Question 95 Marks
Establish an expression for the mean kinetic energy of molecules. Under what circumstances can this be known?
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Question 105 Marks
Define root mean square velocity. How is the temperature of an ideal gas explained by the kinetic theory of gases?
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Question 115 Marks
On the basis of molecular kinetic theory derive an expression for the pressure exerted on the walls of a vessel by a gas filled in it.
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Question 125 Marks
What is the kinetic theory of gases? Explain the hypothesis of this theory and point out its limitations.
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Question 145 Marks
Explain the molecular nature of matter. What are the factors affecting Brownian motion? Describe them.
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