A certain gas obeys the following equation of state: P = RTaR Vm – b TV...
(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),
B. A certain gas obeys the equation of state where n and R are constants in this case. Determine the coefficient of expansion, α-G) ( )p, of this gas. CaT)
Atomic gas which obeys Van der Waals equation of state RT= (P+ a/ V2) (V-b) has internal energy (per mole) of u = 3/2 RT - a/V where 'V' is volume of mole in temperature T. In the beginning, the gas temperature is T1 and volume V1. The gas is let to expand adiabatically so that its final volume is V2. What is the final temperature of the gas?
(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...
4. A certain gas obeys the van der Waals equation with a = 0.76 m Pa mol-?. Its volume is found to be 3.50 x 10 m mol-1 at 236 K and 4.1 MPa. 1) From this information calculate the van der Waals constant b. 2) What is the compression factor for this gas at the prevailing temperature and pressure?
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...
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?
Atomic gas which obeys Van der Waals equation of state RT= (P+ a/ V2) (V-b) has internal energy (per mole) of u = 3/2 RT - a/V where 'V' is volume of mole in temperature T. In the beginning, the gas temperature is T1 and volume V1. The gas is let to expand adiabatically so that its final volume is V2. What is the final temperature of the gas?
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...
3. (20 points) Sandler 6.18 The Clausius equation of state is P(V – b) = RT where b is a constant. (a) Show that for this volumetric equation of state Cp(P,T) = Cy(P,T) +R Cp(P,T) = CP(T) Cy(V,T) = Ci(T) (b) For a certain process the pressure of a gas must be reduced from an initial pressure P, to the final pressure P2. The gas obeys the Clausius equation of state, and the pressure reduction is to be accomplished by...