hiii tell me this questions right answer.
tell me fast at the spot don't tell the wrong answer....
What is the value of gamma for a
gas havin g 'n' degrees of freedom.
Answers
Answered by
3
ANSWER :
_________
Gamma, atomicity, γ = Cp / Cv
By derivation, Gamma, γ = 1 + 2 / f
Where, f = Degrees of freedom for 'n' number of molecules.
_________
Gamma, atomicity, γ = Cp / Cv
By derivation, Gamma, γ = 1 + 2 / f
Where, f = Degrees of freedom for 'n' number of molecules.
dsd20:
its ok
Answered by
9
hi mate here is your answer....
Suppose, the number of degrees of freedom in a polyatomic gas molecule = n
Internal energy of one gram mole of the gas,
U = n * (1/2)kT * N
Where k = Boltzmann constant, T = temerature of system and N = Avogadro number
Or U = n/2 RT
Now we know,
Cv =dU/dT = > Cv = d/dT (U)
= (n / 2) R
Also we have a relation,
Cp = Cv + R
= ( n / 2) R + R
= (n/ 2 + 1) R
Again, Cp /Cv = Y
= ( n / 2 + 1) R / ( n / 2) R = ( 1 + 2 / n)
Therefore, Y = ( 1 + 2/ n)
Suppose, the number of degrees of freedom in a polyatomic gas molecule = n
Internal energy of one gram mole of the gas,
U = n * (1/2)kT * N
Where k = Boltzmann constant, T = temerature of system and N = Avogadro number
Or U = n/2 RT
Now we know,
Cv =dU/dT = > Cv = d/dT (U)
= (n / 2) R
Also we have a relation,
Cp = Cv + R
= ( n / 2) R + R
= (n/ 2 + 1) R
Again, Cp /Cv = Y
= ( n / 2 + 1) R / ( n / 2) R = ( 1 + 2 / n)
Therefore, Y = ( 1 + 2/ n)
Similar questions