If f is the number of degrees of freedon of a gas, show that gamma =1

1.	If f is the number of degrees of freedon of a gas, show that gamma =1 + (2)/(f).
Answer» SOLUTION :We know `C _(p) - C _(v) = R and (C _(p))/( C_(v)) = gamma ` ALSO `C _(v) = (f R)/( 2) i.e., (R)/(C _(v)) = (2)/(f)` `therefore C _(p) = R + C _(v)` `(C _(p))/( C _(v)) = (R)/( C _(v) + 1 i.e., gamma = (2)/(f) + 1` `gamma = 1 + (2)/(f)`

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