1.

When you have learned to integrate derive the Poisson formula for an adiabatic process.

Answer»


Solution :It follows from the first law of thermodynamics for an adiabatic process `(Q = 0)`, that
`m/M C_(mv) dT + pdV = 0`.
Differentiating the Mendeleev-Clapeyron equation, we OBTAIN
`pdV = V dp = m/M RdT`
Eliminating dT from these EXPRESSIONS, we obtain after some transformations
`gamma (dV)/V = (dp)/p =0`
INTEGRATING , we obtain
`gamma int_(v_0)^V (dV)/V + int_(p_0)^(p) (dp)/(p) = 0`
From which
`gamma ln V - gamma ln V_0+ ln p - ln p_0 = 0 , " or " ln (pV^(gamma)) = ln (p_0v_0^(gamma))`
Therefore, `pV^(gamma) = p_0 V_(0)^(gamma)`.


Discussion

No Comment Found

Related InterviewSolutions