48 Marks) expression for the differences of the molar internal energy between the van der a)Denive...
1) The internal energy function for a Van der Waals gas with constant cy is UCT, v) = n( cv1-3) where v=Vin is the specific volume. a) Find the change in temperature T-To that occurs in a free expansion when the volume changes from V, to 2V. The initial specific volume is v=25L/mol, the specific heat is Cy=2.5R and the parameter a is a=1.346 atm L-/mol (realistic value for N2 gas, note: latm=1.013 x 10 Pa). VOTO 2V, gas Perfect...
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...
2. (15 marks) The van der Waals equation (first introduced by van der Waals in 1877) is an attempt to describe the fact that real gases do not follow the ideal gas law. According to this equation where P is the pressure of the gas, V is the volume, R is the gas constant, T is the temperature, n is the number of moles, and a and b are parameters that depend on the gas (a) Suppose that 1.0 ±...
The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between pressure p, volume V and temperature T for gases better than the Ideal Gas Law does: The van der Waals equation of state. R stands for the gas constant and n for moles of gas. The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in the table...
(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...
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?
12 This question explores the energy transfer during the reversible isothermal expansion of a van-der-Waals gas. a) The equation of state of the van-der-Waals gas is 141 where Vm is the molar volume. Explain the significance of the constants a and b giving a physical interpretation of both by comparing the equation given with the equation of state of the ideal gas. b) Re-arrange the equation of state given above to produce a formula for the pressure [3] as a...
The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to predict the relationship between press temperature T for gases better than the Ideal Gas Law does: b) - RT The van der Waals equation of state. R stands for the gas constant and n for moles of gas The parameters a and b must be determined for each gas from experimental data. Use the van der Waals equation to answer the questions in...
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?
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...