derivation of van der waals equation of state
Van der Waals equation It is available via its traditional derivation (a mechanical equation of state), or via a derivation based in statistical thermodynamics, the latter of which provides the partition function of the system and allows thermodynamic functions to be specified. It successfully approximates the behavior of real fluids above their critical temperatures and is qualitatively reasonable for their liquid and low-pressure gaseous states at low temperatures. However, near the transitions between gas and liquid, in the range of p, V, and T where the liquid phase and the gas phase are in equilibrium, the van der Waals equation fails to accurately model observed experimental behaviour, in particular that p is a constant function of V at given temperatures. As such, the van der Waals model is not useful only for calculations intended to predict real behavior in regions near the critical point. Empirical corrections to address these predictive deficiencies have been inserted into the van der Waals model, e.g., by James Clerk Maxwell in his equal area rule, and related but distinct theoretical models, e.g., based on the principle of corresponding states, have been developed to achieve better fits to real fluid behaviour in equations of comparable complexity.
National Pledge (India) 1. Hindi भारत मेरा देश है। सब भारतवासी मेरे भाई-बहन है। मैं अपने देश से प्रेम करता/करती हूं। इसकी समृद्ध एवं विविध संस्कृति पर मुझे गर्व है। मैं सदा इसका सुयोग्य अधिकारी बनने का प्रयत्न करता/करती रहूँगा/रहूँगी। मैं अपने माता-पिता, शिक्षको एवं गुरुजनो का सम्मान करूँगा/करूँगी और प्रत्येक के साथ विनीत रहूँगा/रहूँगी। मैं अपने देश और देशवाशियों के प्रति सत्यनिष्ठा की प्रतिज्ञा करता/करती हूँ। इनके कल्याण एवं समृद्धि में ही मेरा सुख निहित है।
Vapor Vapor refers to a gas phase at a temperature where the same substance can also exist in the liquid or solid state, below the critical temperature of the substance. (For example, water has a critical temperature of 374 °C (647 K), which is the highest temperature at which liquid water can exist.) If the vapor is in contact with a liquid or solid phase, the two phases will be in a state of equilibrium. The term gas refers to a compressible fluid phase. Fixed gases are gases for which no liquid or solid can form at the temperature of the gas, such as air at typical ambient temperatures. A liquid or solid does not have to boil to release a vapor.
SOAP note The objective section of the SOAP includes information that the healthcare provider observes or measures from the patient's current presentation, such as: