Question

The ratio of the specific heats $straight C subscript straight p over straight C subscript straight v space equals gamma$ in terms of degrees of freedom (n) is given by

$open parentheses 1 plus 1 over straight n close parentheses$
$open parentheses 1 plus straight n over 3 close parentheses$
$open parentheses 1 plus 2 over straight n close parentheses$
$open parentheses 1 plus straight n over 2 close parentheses$

Solution

open parentheses 1 plus 2 over straight n close parentheses

The specific heat of gas at constant volume in terms of degree of freedom 'n' is
$straight C subscript straight v space equals straight n over 2 straight R also space straight C subscript straight p space minus straight C subscript straight v space equals space straight R So space straight C subscript straight p space equals straight n over 2 straight R space plus straight R space equals space straight R open parentheses space 1 plus straight n over 2 close parentheses Now comma space straight gamma space equals straight C subscript straight p over straight C subscript straight v space equals space fraction numerator space straight R open parentheses space 1 plus straight n over 2 close parentheses over denominator straight n over 2 straight R end fraction space equals space 2 over straight n space plus 1$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Some More Questions From Mechanical Properties of Fluids Chapter

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Define temperature.

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Mechanical Properties Of Fluids

The ratio of the specific heats in terms of degrees of freedom (n) is given by

Some More Questions From Mechanical Properties of Fluids Chapter

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Do the gases have only one value of specific heat?

What is thermometry?

Define temperature.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation