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?
Atomic gas which obeys Van der Waals equation of state RT= (P+ a/ V2) (V-b) has...
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?
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...
(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),
(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...
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...
Parts iii) and iv) are the ones I need help with please :) (a) One mole of a monoatomic van der Waals gas obeys the equation of state and its internal energy is expressed as U where Cv is the molar apacity of an ideal gas. The gas is initially at pr isochoric heat c essure p and volume V Explain the physical meaning of the parameters a and b in the equation of state of the gas (ii) Write...
The equation of state for a van der Waals fluid is ? You will look at the work and energy it takes to compress such a fluid and compare it to an ideal gas. Show that the following identity is true using thermodynamic identity for U and Maxwell’s Relations. Using part (a), show that for a van der Waals fluid, the internal energy for a monatomic Take a van der Waals fluid at 101 kPa, 300 K, and an initial...
Is the Van der Waals function an equation of state? RT a P(T, Vm) = V, - b Viva
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?
2.2. The equation of state of a van der Waals gas is given as P+)(v-b) = RT, CHAPTER 2: Simple Thermodynamic Systems 47 where a, b, and R are constants. Calculate the following quantities: т, From parts (a) and (b) calculate (av/OT)p