14. A reversible heat engine of one mole of van der waals gas uses a four-step...
14. A reversible heat engine of one mole of van der Waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until v Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the Cp,m operating temperature range and respectively Cv.m Calculate the total work in terms of temperature during one cycle.
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature Ti, a constant volume cooling to temperature T2, and adiabatic compression back to the initial state. (a) Sketch the P-V diagram (b) If 1 mole of a van der Waals gas is used the working material, the efficiency of this engine is defined to be E = Suppose that the heat capacity of gas is independent of temperature. Show that the efficiency of the...
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...
. Consider the van der Waals gas for which: a = 3.59 t.atrn/mole" b-0.0427 Umole One mole of this gas having a volume of 0.25 C is initially at equilibrium with a temperature of T, and 60 atm pressure. The pressure is suddenly dropped to 37 atm and the gas expands at constant pressure isothermally to 0.54 C at which point equilibrium is achieved. The pressure is then suddenly increased to 60 atm and the gas is compressed isothermally until...
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...
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...
(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...
physical chemistry 4. Consider He to be a van der Waals gas. One mole of He is expanded adiabatically in a piston and cylinder from a volume of 1.0 l to 2.0 l. During the process, the temperature of the gas drops by 0.138 K (i.e. from 300.000 Kto 299.862 K). For He a = 0.0341 atm-e-/mole- and b=0.0238 l/mole. Find Cy for He.
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while tripling the volume of the gas. What is the relation between T_1 and T-2? T-2/3 < T_1<T_2 T_2/3 < T_1 < T-2 T_1= T_2 T_2<T_1 T_1 lessthanorequalto T_2/3 One mole of Ar gas undergoes the reversible transformation shown. Assuming Ar behaves ideally, which statement is true for step 2? Delta U= C_p DeltaT DeltaH < Delta U Delat S= c_p ln(T_c/T_B) W = etaRt...
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?