How to prove (mathematically) that the volume of van der waals equation is a state function?

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Q: How to prove that the temperature (T) of an ideal gas law is a state function?

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Q: 3) Derive the Joule -Tuomson coefficiant for Virial eguation of state in terms of volume expausion.

A: Answer is explained below.

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Q: What is Isothermal Expansion of a van der Waals Gas?

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Q: Compare the bond energy of H2, CO, O2, NO, and N2 to kT at 20 K, 300 K, and 10000 K. Discuss the…

A: H2 = Bond order-1        H-H CO = Bond order-3        O2 = Bond order-2          O=O NO = Bond…

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Q: 103. Prove that the heat capacities of a perfect gas are independent of both volume and pressure.

A: For perfect gas, the equation is; PV = RT  ........(1) Where, P = pressure V = volume R = constant T…

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Q: It can be useful to approximate the behavior of real gases. Imagine you find a gas approximately…

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Q: Calculate the value of cP at 298 K and 1 atm pressurepredicted for CH4(g) and C2H4(g) by the…

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A: Given values: Energy supplied = 178 Joule moles of gas = 1.9 moles Temperature increase = 1.78 K

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Q: ƏT dp as

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Q: What fraction of the water vaporization enthalpy is consumed in the expansion of water vapor?

A: Answer

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Q: Define the concept of Ideal Gad & also discuss the Multiplicity of a Monatomic Ideal Gas ?

A: Ideal gas law is also called as general gas  equation . PV = nRT

Q: How to prove that the volume in van der waals equation is a state function?

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Q: Discuss the relationship between chemical potential and fugacity

A: ANSWER IS DISCUSSED BELOW

Q: Why is chemical potential analogous to temperature and pressure?

A: The chemical potential is the measure of free energy is changed in the process.

Q: Is the volume of a system a state function?

A: State function: A state function is thermodynamic quantity which describes equilibrium state of…

Q: How to prove (mathematically) that the temperature of van der waals equation is a state function?

A: The van der Waal equation is    [P+((an^2​)/(v^2)][v−nb]=nRT   ∴  for every quantity, there is a…

Q: Calculate the value of CP at 298 K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the…

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Q: What is the Van der Waals equation of a real gas

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Q: What does the 'a' represent in the van der Waals equation of state for a real gas?

A: The ideal gas law is modified and a equation is propsed by Johannes D. van der Waals in 1873…

Q: Use the virial equation of state to calculate the pressure exerted by 1.00 mol CH4, at 273 K…

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