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The mean free path λ of molecules is given by where n is the number of molecules per unit volume and d is the diameter of the molecules.
Concept: Mean Free Path
The ratio of emissive power of perfect blackbody at 1327°C and 527°C is ______.
Concept: Emission of Heat Radiation
Mention the conditions under which a real gas obeys the ideal gas equation.
Concept: Classification of Gases: Real Gases and Ideal Gases
State the law of equipartition of energy and hence calculate the molar specific heat of mono-atomic and di-atomic gases at constant volume and constant pressure.
Concept: Law of Equipartition of Energy
Answer in brief:
Compare the rms speed of hydrogen molecules at 127°C with rms speed of oxygen molecules at 27ºC given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.
Concept: Interpretation of Temperature in Kinetic Theory
The emissive power of a sphere of area 0.02 m2 is 0.5 kcal s-1m-2. What is the amount of heat radiated by the spherical surface in 20 seconds?
Concept: Interpretation of Temperature in Kinetic Theory
Calculate the value of λmax for radiation from a body having a surface temperature of 3000 K. (b = 2.897 x 10-3 m K)
Concept: Interpretation of Temperature in Kinetic Theory
Draw a neat labeled diagram of Ferry’s black body.
Concept: Perfect Blackbody
A metal cube of length 4 cm radiates heat at the rate of 10 J/s. Find its emissive power at a given temperature.
Concept: Interpretation of Temperature in Kinetic Theory
Calculate the ratio of two specific heats of polyatomic gas molecules.
Concept: Specific Heat Capacity
The velocity of the three molecules is 2 km s-1, 4 km s-1, 6 km s-1. Find (i) mean square velocity (ii) root mean square velocity.
Concept: Root Mean Square (RMS) Speed
Derive Mayer’s relation.
Concept: Specific Heat Capacity
The root mean square speed of the molecules of a gas is proportional to ______.
[T =Absolute temperature of gas]
Concept: Root Mean Square (RMS) Speed
The difference between the two molar specific heats of gas is 9000 J/kg K. If the ratio of the two specific heats is 1.5, calculate the two molar specific heats.
Concept: Specific Heat Capacity
Compare the rate of loss of heat from a metal sphere at 827°C with the rate of loss of heat from the same at 427°C, if the temperature of the surrounding is 27°C.
Concept: Stefan-boltzmann Law of Radiation
State and prove the theorem of the parallel axis about the moment of inertia.
Concept: Theorems of Perpendicular and Parallel Axes
Show that the average energy per molecule is directly proportional to the absolute temperature ‘T’ of the gas.
Concept: Interpretation of Temperature in Kinetic Theory
Draw a neat labelled diagram of Ferry’s perfectly black body.
Concept: Perfect Blackbody
Compare the rms speed of hydrogen molecules at 227°C with the rms speed of oxygen molecules at 127°C. Given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.
Concept: Root Mean Square (RMS) Speed
Prove the Mayer's relation `C_p - C _v = R/J`
Concept: Specific Heat Capacity
