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Question One mole of air at 260 K confined in a cylin- der under a heavy...
A mole of air occupies 5.0 L at 396 ◦C in a cylinder with a piston...
A mole of air occupies 5.0 L at 396 ◦C in a cylinder with a piston that exerts constant force. 4.4 kJ of heat is added. Air molecules are mostly diatomic. Use the values of CV and CP for an ideal gas rather than values from the internet or the textbook. Determine the (a) new volume, and (b) change in internal energy. If the piston is instead held in place at 5.0 L, determine the (c) new pressure. (a) 6.0,...
physical chemistry 4. Consider He to be a van der Waals gas. One mole of He...
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.
2. One mole of a monoatomic van der Waals gas obeys the equation of state and its internal energy is expressed as U-Суг...
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...
Q-1 Air at 1 atm and 20 0C occupies an initial volume of 1000 cm3 in...
Q-1 Air at 1 atm and 20 0C occupies an initial volume of 1000 cm3 in a cylinder. The air is confined by a piston which has a constant restraining force so that the gas pressure always remains constant. Heat is added to the air until its temperature reaches 260 0C. Calculate (a) the heat added (b) the work done by the gas, (c) the change in internal energy of the gas. Q-2 An ideal gas is contained in a...
He gas is confined to a piston and cylinder with a mechanical stop that prevents the...
He gas is confined to a piston and cylinder with a mechanical stop that prevents the cylinder from expanding. The temperature of the gas is 298 K, the volume of gas in the cylinder is 1.20 L and its pressure is 2.15 bar. The ideal gas EOS is very accurate for He under these conditions. Starting from the final state of the He gas in part (b), the gas (and apparatus) was cooled from 298 K to 263 K. The...
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 3 2, respectively operating temperature range and Cvm Calculate the total work in terms of temperature during one cycle.
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.
5. Consider the following piston-cylinder arrangement which is thermally insulated. Initially, the same 1 mole of...
5. Consider the following piston-cylinder arrangement which is thermally insulated. Initially, the same 1 mole of monoatomic ideal gas are confined in the cylinder A and B respectively which are partitioned by a thermally conducted metal plate as shown in Figure 1. The initial volume and absolute temperature (X) of two partitions are the same as V and T respectively and the external pressure of the cylinder is given by P, as shown in Figure 1. When heat (g) was...
One mole of an ideal monoatomic gas is initially at 300 K and 5 bar of...
One mole of an ideal monoatomic gas is initially at 300 K and 5 bar of pressure inside a cylinder with a frictionless piston. a) The cylinder is kept in a heat bath and the gas is allowed to expand under 1 bar of external pressure. Calculate the work and heat associated with this process. b) Calculate the change in enthalpy for isothermal expansion at constant pressure. c) Alternatively, the gas is allowed to expand isothermally under near-equilibrium conditions. Calculate...
(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 g...
(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.
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...
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 3 2, respectively operating temperature range and Cvm Calculate the total work in terms of temperature during one cycle.
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.
5. Consider the following piston-cylinder arrangement which is thermally insulated. Initially, the same 1 mole of monoatomic ideal gas are confined in the cylinder A and B respectively which are partitioned by a thermally conducted metal plate as shown in Figure 1. The initial volume and absolute temperature (X) of two partitions are the same as V and T respectively and the external pressure of the cylinder is given by P, as shown in Figure 1. When heat (g) was...
(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...
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