B. A certain gas obeys the equation of state where n and R are constants in...
A certain gas obeys the following equation of state: P = RTaR Vm – b TV Derive the formula for the derivative of the entropy with respect to the volume at constant temperature.
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
10. A nonideal gas obeys the equation of state PV = nRT - api where a is a positive constant. Obtain an expression for the Joule-Thomson coefficient for this gas in terms of the constant a and the heat capacity of the gas. Does the temperature of the gas increase or decrease in a Joule-Thomson experiment? Coorry?
3. A gas obeys the equation of state PV = nRT - an'/V, where n is the number of moles of gas and a is constant. Substitute with rearrangement into the differential equation for work, and integrate from Vito V2 to find an equation for the work done by this gas as the result of a reversible isothermal process. Show algebraically that the work is proportional to n to the first power.
2. One mole of a monoatomic van der Waals gas obeys the equation of state and its internal energy is expressed as U-Суг_ _ where Cv is the molar isochoric heat capacity of an ideal gas. The gas is initially at pressure p and volume V. (i) Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Calculate the heat transferred to the gas during reversible isothermic expansion to the volume...
(30pts) Derive expressions for a gas that obeys the Van der Waals equation of state of (P+a⁄v²)(v-b)=RT where v is specific volume and a and b are constants. For an isothermal process derive expressions to calculate change in enthalpy (h), change in internal energy(u), change in entropy (s),
4. 10 points A monoatomic gas obeys the van der Waals equation: N²a P= NT V - Nb V2 where N is the number of particles and a and b are known constants and t = kbT. The gas has a heat capacity Cy = 3N/2 in the limit V +0. a) Using the thermodynamic identities and the equation of state prove that acv = 0. av т (3 pts) b) Use the result of part a) to determine the...
(a) One mole of a monoatomic van der Waals gas obeys the equation of state A3. ) (V-b)=RT (p+ and its internal energy is expressed as U CvT where Cv is the molar isochoric heat capacity of an ideal gas. The gas is initially at pressure p and volume V (i) Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Write down the equation that defines entropy in thermodynamics. Define...
1. The following equation of state for 1 mole of a certain real gas is proposed: RT .- a/RTV P = V-b where a and b are characteristic constants for the real gas (a) Predict the critical compression factor, Z, for the real gas that is satisfied with above equation of state. (b) What is the relation between the Boyle temperature (TB) and the critical temperature (Tc)?
1. The following equation of state for 1 mole of a certain real gas is proposed: RT P = 1- Te-a/RTV where a and b are characteristic constants for the real gas. (a) Predict the critical compression factor, Z , for the real gas that is satisfied with above equation of state. (b) What is the relation between the Boyle temperature (TB) and the critical temperature (TC)?