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Concepts of Physics

Kinetic Theory of Gases

Show that the internal energy of the air (treated as an ideal

Concepts of Physics

Class 12

HC Verma Part II

Chapter 1: Heat and Temperature

64 questions

Chapter 2: Kinetic Theory of Gases

100 questions

One mole of an ideal gas undergoes a process

P = (P_{0}) / (1 + (V / V_{0})^{2}

where

p_{0}

and

V_{0}

are constants . Find the temperature of the gas when

V = V_{0}

Show that the internal energy of the air (treated as an ideal gas) contained in a room remains constant as the temperature changes between day and night. Assume that the atmospheric pressure around remains constant and the air in the room maintains this pressure by communicating with the surrounding through the windows, doors, etc. Use

R = 8.314 J K^{- 1} m o l^{- 1}

Figure shows a cylindrical tube of radius 5 cm and length 20 cm. It is closed by a tight-fitting cork. The friction coefficient between the cork and the tube is 0.20. The tube contains an ideal gas at a pressure of 1 atm and a temperature of 300 K. The tube is slowly heated and it is found that the cork pops out when the temperature reaches 600 K. Let dN denote the magnitude of the normal contact force exerted by a small length dl of the cork along the periphery (see the figure). Assuming that the temperature of the gas is uniform at any instant, calculate

(d N) / (d t)

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Chapter 3: Calorimetry

41 questions

Chapter 4: Laws of Thermodynamics

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Chapter 5: Specific Heat Capacities of Gases

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Chapter 6: Heat Transfer

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Chapter 7: Electric Field and Potential

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Chapter 15: Magnetic Properties of Matter

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Chapter 16: Electromagnetic Induction

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Chapter 17: Alternating Current

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Chapter 18: Electromagnetic Waves

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Chapter 19: Electric Current through Gases

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Chapter 20: Photoelectric Effect and Wave Particle Duality

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Chapter 21: Bohr'a Model and Physics of the Atom

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Chapter 22: X-rays

59 questions

Chapter 23: Semiconductors and Semiconductor devices

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Chapter 24: The Nucleus

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Question

Medium

Solving time: 5 mins

Show that the internal energy of the air (treated as an ideal gas) contained in a room remains constant as the temperature changes between day and night. Assume that the atmospheric pressure around remains constant and the air in the room maintains this pressure by communicating with the surrounding through the windows, doors, etc. Use $R = 8.314 J K^{- 1} m o l^{- 1}$

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Book:

Concepts of Physics (HC Verma Part II)

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Text solutionVerified

We Know internal energy at a particular temperature

U = n C_{v} T

Air in home is are chiefly diatomic molecules, so

C_{v} = \frac{5}{2} R ∴ U = \frac{5 n}{2} RT

Now by eqn. of state

n RT = P V U = \frac{5}{2} (n RT) \Rightarrow U = \frac{5}{2} P V

Now pressure

P

is Constant also

V

of the room = constant Thus,

U = Constant

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Question Text	Show that the internal energy of the air (treated as an ideal gas) contained in a room remains constant as the temperature changes between day and night. Assume that the atmospheric pressure around remains constant and the air in the room maintains this pressure by communicating with the surrounding through the windows, doors, etc. Use $R = 8.314 J K^{- 1} m o l^{- 1}$
Topic	Kinetic Theory
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	74

Text solutionVerified

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