What are degrees of freedom?...

What are degrees of freedom?

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The degrees of freedom of the system are the minimum number of independent coordinates needed to specify the position and configuration of a thermo-dynamical system in space.
Eg:
(i) A practical moving in space has three degrees of freedom.
(ii) similarly practice moving over a plan has two degrees of freedom.
(iii) free practical moving along x-axis needs only one coordinate to specify it completely . So its degree of freedom is one.
If we have a number of gas molecules in the container , then the total number of degrees of freedom is F = 3N .
But, if the system has kyon number of constraints ( restrictions is motion ) then the degrees of freedom decreases and it is equal to f = 3N - q where N is the number of particles and q are constraints.

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A container has one mole of monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of gamma=(C_(p))/(C_(v))

`f/2`

`f/(f+2)`

`(f+2)/(f)`

A container has one mole of monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of gamma=(C_(P))/(C_(V))

`(f)/(2)`

`(f)/(f+2)`

`(f+2)/(f)`

A constainer has one mole of monoatomic ideal gas. Each molecules has f degrees of freedom. What is the ration of gamma=C_(P)/C_(V) ?

`f/2`

`f/(f+2)`

`(f+2)/f`