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  1. Exams
  2. IIT JEE
  3. Physics
  4. Kinetic theory of gases
36 marks

Kinetic theory of gases

This chapter deals with the microscopic model of gases, explaining their macroscopic properties like pressure and temperature.

11 Topics
20h prep
2% subject weight
11 Topics
1

Equation of state of a perfect gas

2m2/10
๐Ÿ“Œ Key FormulaPV = nRT
2

Work done on compressing a gas

2m2/10
๐Ÿ“Œ Key FormulaW = -โˆซ P dV
3

Kinetic theory of gases - assumptions

2m1/10
๐Ÿ“Œ Key FormulaLarge number of molecules, random motion, negligible volume, elastic collisions, etc.
4

The concept of pressure

2m2/10
๐Ÿ“Œ Key FormulaP = (1/3) (N/V) m v_rmsยฒ
5

Kinetic energy and temperature

2m2/10
๐Ÿ“Œ Key FormulaAverage KE per molecule = (3/2)kT
6

RMS speed of gas molecules

2m2/10
๐Ÿ“Œ Key Formulav_rms = โˆš(3RT/M) = โˆš(3kT/m)
7

Degrees of freedom

2m2/10
๐Ÿ“Œ Key FormulaNumber of independent coordinates to describe system: monoatomic (3), diatomic (5), etc.
8

Law of equipartition of energy

2m2/10
๐Ÿ“Œ Key FormulaAverage energy per degree of freedom = ยฝkT
9

Applications to specific heat capacities of gases

2m3/10
๐Ÿ“Œ Key FormulaC_v = f/2 R, C_p = C_v + R, ฮณ = C_p/C_v
10

Mean free path

2m3/10
๐Ÿ“Œ Key Formulaฮป = 1/(โˆš2 n ฯ€ dยฒ)
11

Avogadro's number

2m1/10
๐Ÿ“Œ Key FormulaN_A = 6.022 ร— 10ยฒยณ molโปยน