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प्रश्न
Define the term degrees of freedom.
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उत्तर
The minimum number of independent coordinates needed to specify the position and configuration of a thermo-dynamical system in space is called the degree of freedom of the system.
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संबंधित प्रश्न
A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = `"C"_"p"/"C"_"v"`?
A sample of gas consists of μ1 moles of monoatomic molecules, μ2 moles of diatomic molecules and μ3 moles of linear triatomic molecules. The gas is kept at a high temperature. What is the total number of degrees of freedom?
Derive the ratio of two specific heat capacities of monoatomic, diatomic and triatomic molecules.
During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of γ = `("C"_"P"/"C"_"V")`
Two monoatomic gas A and B occupying the same volume V are at the same temperature T and pressure P. If they are mixed, the resulting mixture has volume V and temperature T. The pressure of the mixture is:
Which of the following statement given below are correct for monoatomic gas?
I. Cv = `3/2 "R"`
II. Cp = `5/2 "R"`
III. Cp − Cv = 2R
IV. `"C"_"p"/"C"_"v" = 5/3`
A ballon has 5.0 g mole of helium at 7°C. Calculate
- the number of atoms of helium in the balloon
- the total internal energy of the system.
The average energy for molecules in one degree of freedom is ______.
Which statements are correct about degrees of freedom?
- A molecule with n degrees of freedom has n2 different ways of storing energy.
- Each degree of freedom is associated with `1/2`RT average energy per mole.
- A monoatomic gas molecule has 1 rotational degree of freedom whereas the diatomic molecule has 2 rotational degrees of freedom.
- CH4 has a total of 6 degrees of freedom.
Choose the correct answer from the option given below:
A gas has n degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be ______.
