Read More
Date: 11-8-2016
1062
Date: 13-7-2016
1198
Date: 29-8-2016
1005
|
Phase Transition
The curve separating the liquid and gas phases ends in the critical point Vc, τc, where (∂P/∂V)τ = τc = 0. Using arguments based on thermodynamic stability, determine
at the critical point.
SOLUTION
For a system at equilibrium with an external reservoir, the Gibbs free energy G = F + P0V is a minimum. Any deviation from equilibrium will raise G:
(1)
where P0 is the pressure of the reservoir. Expanding δF in δV, we have
(2)
Since ∂F/∂V = -P, we may rewrite (2) as
(3)
At the critical point, ∂P/∂V = 0, so (3) becomes
(4)
For (4) to hold for arbitrary δV, we have
(5)
|
|
دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
|
|
|
|
|
اكتشاف أكبر مرجان في العالم قبالة سواحل جزر سليمان
|
|
|
|
|
اتحاد كليات الطب الملكية البريطانية يشيد بالمستوى العلمي لطلبة جامعة العميد وبيئتها التعليمية
|
|
|