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Gsul Chemistry Reone woonington. Phys chem 341 2nd midterm © Use the ideal gas how to...
① Use the ideal gas how to obtain the three functions, P= f(V,T), V = 9 (P.1), T = h (PU). Show that the cyclic rul...
① Use the ideal gas how to obtain the three functions, P= f(V,T), V = 9 (P.1), T = h (PU). Show that the cyclic rule 2), (), (), = -1 ау
The correct answer does not depend on K or V. - Part A - The dependence...
The correct answer does not depend on K or V.
- Part A - The dependence of U on V Given the relationship (%), =T(E), -P, use the cyclic rule to write (@uſav), in terms of the measurable quantities P, B, T, and K. Recall that B and k are the isobaric volumetric thermal expansion coefficient and the isothermal compressibility, respectively, defined by B= + () and k=-* (*) Express your answer in terms of P,B, T, and K. ►...
Problem I (40 pts): Simplify and evaluate the following thermodynamic quantities for an ideal gas (assuming...
Problem I (40 pts): Simplify and evaluate the following thermodynamic quantities for an ideal gas (assuming n-1.0 mole, T-300 K, and P-0.1 MPa). a) (10 pts) The Joule-Thompson coefficient (1) ar ОР V(Tap-1) H b) (10 pts) The isobaric thermal expansion coefficient (AP) c) (10 pts) The isothermal compressibility (KT) d) (10 pts) The heat capacity at constant pressure (C)
Obtain heat q and work w given to an ideal gas (1 moD system and the...
Obtain heat q and work w given to an ideal gas (1 moD system and the ehange of the internal energy Au in the following processes. Heat capacity at constant volume, G, of the gas does not 1. AU in t A reversible isothermal expansion from (P. V.,T) to (P, V, r). reversibly at constant volume from (Pvv2,T) to (p,y, ) depend on temperature. a) b) A reversible adiabatic expansion from (P, V.T) to (P, V, T2) and then heating...
physical chemistry 3. Derive formulas for AE, Aw, and Aq when a Van der Waal's gas...
physical chemistry
3. Derive formulas for AE, Aw, and Aq when a Van der Waal's gas undergoes: a) reversible isothermal expansion b) adiabatic expansion c) repeat steps a and b for an ideal gas d) Use the Maxwell relation derived from the Helmholtz free energy F =F(T,V) = -SdT PdV To prove that e) Determine for a Van der Waal's gas and an ideal gas. T()-P f) Explain the answer to part e in terms of the assumptions that define...
2) Calculate w for the adiabatic expansion of 2.50 mol of an ideal gas at an...
2) Calculate w for the adiabatic expansion of 2.50 mol of an ideal gas at an initial pressure of 2.25 bar from an initial temper- ature of 450. K to a final temperature of 300. K. Write an expression for the work done in the isothermal reversible expan- sion of the gas at 300. K from an initial pressure of 2.25 bar. What value of the final pressure would give the same value of w as the first part of...
Physical Chemistry A gas is well described with the following equation of state P = RT/V...
Physical Chemistry
A gas is well described with the following equation of state P = RT/V - b - a/squareroot T 1/V (V + b) where a = 452.0 bar.dm^6.mol^2.K^1/2 and b = 0.08217 dm^3.mol^-1. If 1.14 moles of the gas have a volume of 2L at 685K, calculate: 1- the pressure of the gas using the provided equation of state. 2- the pressure assuming that the gas is an ideal gas. 3- The compressibility factor (z) of the gas...
The internal energy, U, is the total energy of a system. For any isolated system, the...
The internal energy, U, is the total energy of a system. For any isolated system, the internal energy is constant. U is a state function, meaning that any path used in calculating AU ill result in the same answer. For any pure substance or fixed mixture of substances, the internal energy, U, can be determined from any two of the variablesP, V, and T. It is often most convenient to choose V and T as the variables. It is helpful,...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
4. A heat engine contains an ideal monatomic gas confined to a cylinder by a movable...
4. A heat engine contains an ideal monatomic gas confined to a cylinder by a movable piston. The gas starts at point A shown in the figure, where T 3.00 x102 K. The process B C is an isothermal expansion. (a) Find the number of moles of the gas and the temperature at point B. (b) Find AU, Q (the heat flow), and W (the work done by the system) for the isovolumetric process A B, (c) the isothermal expansion...
① Use the ideal gas how to obtain the three functions, P= f(V,T), V = 9 (P.1), T = h (PU). Show that the cyclic rule 2), (), (), = -1 ау
The correct answer does not depend on K or V.
- Part A - The dependence of U on V Given the relationship (%), =T(E), -P, use the cyclic rule to write (@uſav), in terms of the measurable quantities P, B, T, and K. Recall that B and k are the isobaric volumetric thermal expansion coefficient and the isothermal compressibility, respectively, defined by B= + () and k=-* (*) Express your answer in terms of P,B, T, and K. ►...
Problem I (40 pts): Simplify and evaluate the following thermodynamic quantities for an ideal gas (assuming n-1.0 mole, T-300 K, and P-0.1 MPa). a) (10 pts) The Joule-Thompson coefficient (1) ar ОР V(Tap-1) H b) (10 pts) The isobaric thermal expansion coefficient (AP) c) (10 pts) The isothermal compressibility (KT) d) (10 pts) The heat capacity at constant pressure (C)
Obtain heat q and work w given to an ideal gas (1 moD system and the ehange of the internal energy Au in the following processes. Heat capacity at constant volume, G, of the gas does not 1. AU in t A reversible isothermal expansion from (P. V.,T) to (P, V, r). reversibly at constant volume from (Pvv2,T) to (p,y, ) depend on temperature. a) b) A reversible adiabatic expansion from (P, V.T) to (P, V, T2) and then heating...
physical chemistry
3. Derive formulas for AE, Aw, and Aq when a Van der Waal's gas undergoes: a) reversible isothermal expansion b) adiabatic expansion c) repeat steps a and b for an ideal gas d) Use the Maxwell relation derived from the Helmholtz free energy F =F(T,V) = -SdT PdV To prove that e) Determine for a Van der Waal's gas and an ideal gas. T()-P f) Explain the answer to part e in terms of the assumptions that define...
2) Calculate w for the adiabatic expansion of 2.50 mol of an ideal gas at an initial pressure of 2.25 bar from an initial temper- ature of 450. K to a final temperature of 300. K. Write an expression for the work done in the isothermal reversible expan- sion of the gas at 300. K from an initial pressure of 2.25 bar. What value of the final pressure would give the same value of w as the first part of...
Physical Chemistry
A gas is well described with the following equation of state P = RT/V - b - a/squareroot T 1/V (V + b) where a = 452.0 bar.dm^6.mol^2.K^1/2 and b = 0.08217 dm^3.mol^-1. If 1.14 moles of the gas have a volume of 2L at 685K, calculate: 1- the pressure of the gas using the provided equation of state. 2- the pressure assuming that the gas is an ideal gas. 3- The compressibility factor (z) of the gas...
The internal energy, U, is the total energy of a system. For any isolated system, the internal energy is constant. U is a state function, meaning that any path used in calculating AU ill result in the same answer. For any pure substance or fixed mixture of substances, the internal energy, U, can be determined from any two of the variablesP, V, and T. It is often most convenient to choose V and T as the variables. It is helpful,...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
4. A heat engine contains an ideal monatomic gas confined to a cylinder by a movable piston. The gas starts at point A shown in the figure, where T 3.00 x102 K. The process B C is an isothermal expansion. (a) Find the number of moles of the gas and the temperature at point B. (b) Find AU, Q (the heat flow), and W (the work done by the system) for the isovolumetric process A B, (c) the isothermal expansion...
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