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Bhupal Nobles' University, Udaipur Convocation | भूपाल नोबल्स विश्वविद्यालय, उदयपुर दीक्षांत समारोह

भूपाल नोबल्स विश्वविद्यालय दीक्षांत समारोह महाराणा प्रताप स्टेशन रोड, सेवाश्रम सर्कल, उदयपुर। भूपाल नोबल्स विश्वविद्यालय उदयपुर द्वारा वर्ष 2018 से 2024 तक की स्नातक एवं स्नातकोत्तर परीक्षा में उत्तीर्ण एवं विद्यावाचस्पति (Ph.D.) उपाधिधारियों के लिए दीक्षान्त समारोह 27 मार्च 2025 गुरूवार को प्रातः 10:30 बजे आयोजित करने का निश्चित हुआ है। दीक्षान्त समारोह में 2020 से 2025 तक की विद्यावाचस्पति की उपाधियों तथा स्नातक एवं स्नातकोत्तर परीक्षाओं में वर्ष 2024 तक प्रथम स्थान प्राप्त करने वाले छात्रों को उपाधि एवं स्वर्ण पदक प्रदान किए जायेंगे। अतः जो उपाधिधारी उक्त समारोह में उपाधि प्राप्त करने के इच्छुक हों, वे समारोह में उपस्थित होने की लिखित सूचना के साथ स्नातक एवं स्नातकोत्तर प्रथम वरीयता प्राप्त छात्रों हेतु, पंजीकरण शुल्क ₹500 व उपाधि शुल्क ₹5000 (कुल ₹5500) एवं विद्यावाचस्पति (Ph.D.), शोधार्थी पंजीकरण शुल्क ₹500 व उपाधि शुल्क ₹5000 (कुल ₹5500) नकद अथवा डिमाण्ड ड्राफ्ट भूपाल नोबल्स विश्वविद्यालय, उदयपुर के नाम बनाकर कुलसचिव, भूपाल नोबल्स विश्वविद्यालय, उदयपुर को दिनांक 17.03.2025 तक ...

Virial equation of state and Boyle temperature


    Ideal gas

  • An ideal gas is a gas which satisfy Boyles’ and Charles’ law for all the values of pressure, volume and temperature completely.
  • Equation of state of an ideal gas for 1 gm molecule or 1 mole is PV = RT.
  • In deriving this equation it was assumed that
  • The size of gaseous molecules are infinitely small, so they do not occupy any space.
  • There is no attractive or repulsive force between the gaseous molecules, so they have only kinetic energy, not potential energy.
  • Deviation from perfect gas equation

  • No gas is ideal or perfect, because no gas follow the ideal gas equation PV = RT at all conditions.
  • The gases which liquified easily show more deviation from the ideal gas equation.
  • For every gas there is a temperature at which the value of PV remain almost constant with increase in P and the value of PV increases at very high pressure. This particular temperature is known as Boyle temperature (TB).
  • Below TB, PV first decreases with increase in P, reaches to a minimum value and then increases with increase in P.
  • Above TB, the value of PV increases with increase in P from beginning.
  • Virial equation of state

  • PV = A + BP + CP2 + DP3 + ...
  • NOTE

  • The present lecture is a bilingual lecture, in which every step is explained in Hindi and in English language. Virial equation of state and Boyle temperature is very important in Thermodynamics. In the present lecture the Virial equation and Boyle temperature is explained in a well systematic way.

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