Homework Answers
The amount of gas is not given in the question. So, assuming
that there is one mole of the Ideal gas. 
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2 Calculate the isobanic volumetric thermal expansion coefficient and the isothermal Compressibility, respectively, defined by 2=+2),...
Calculate the isothermal compressibility and the expansion coefficient of a perfect gas and a van der...
Calculate the isothermal compressibility and the expansion coefficient of a perfect gas and a van der Waals ga:s (ii) Show, using Euler's chain relation, that KTR α(Vin-b) (iii) Make use of the definitions of the coefficient of thermal expansion, α, and 1. (i) (15) the isothermal compressibility, KT, and start from the expression for the total differential dV in terms of T and P to show that: OT
Gsul Chemistry Reone woonington. Phys chem 341 2nd midterm © Use the ideal gas how to...
Gsul Chemistry Reone woonington. Phys chem 341 2nd midterm © Use the ideal gas how to obtain the three functions, P = f (V, T), v =g(P,T), T=h(pu). show that the cyclic rule (2), (), (3), = -1 Calculate the isobatic Volumetric themel expansion coefficient and the isothermal Compressibility, respectively. de fitned by x=+ , k = 1 1 2 3 for an ideal gas at 298 K and 1.00 bar L.
The adiabatic thermal expansion coefficient is defined by the relation αs=Cv/T(dV/dT)s. (a) Evaluate αs in terms...
The adiabatic thermal expansion coefficient is defined by the relation αs=Cv/T(dV/dT)s. (a) Evaluate αs in terms of α(expansivity), β(compressibility), Cv, T, and V. (b) Show that αs=-Cv/nRT for an ideal gas.
1.00 mile of a monoatomic ideal gas at 298 K undergoes isothermal expansion from an initial...
1.00 mile of a monoatomic ideal gas at 298 K undergoes
isothermal expansion from an initial pressure of 12.0 bar to 5.00
bar. Calculate the work if the expansion is done
a) against a constant external pressure
b) reversibly and isothermally.
Problem 3 1.00 mole of a monoatomic ideal gas at 298 K undergoes isothermal expansion from an initial pressure of 12.0 bar to 5.00 bar. Calculate the work if the expansion is done (a) against a constant external pressure...
j 1) The volume thermal expansion coefficient is defined as the fractional change in volume of...
j
1) The volume thermal expansion coefficient is defined as the fractional change in volume of a substance per unit change in temperature. Consider a closed chamber containing a monatomic ideal gas at atmospheric pressure. Consider its behavior as its temperature is increased by a small amount T, and find its volume expansion coefficient, assuming (a) isobaric and (b) adiabatic conditions. Finally, (c) discuss why these two values are different, and compare them to expansion coefficients of liquids and solids.
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient...
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient a T Maxwell relations to justify the following equations: (a) The Joule coefficient is Ay Justify t,Cy p-aT/Kr. T (b) Justify the thermodynamic equation of state tr -p. av ан Justify Hr=-T T +V (c) The isothermal Joule-Thomson coefficient is ur
Two moles of an ideal gas undergo an isothermal expansion at 565 K from a pressure...
Two moles of an ideal gas undergo an isothermal expansion at 565 K from a pressure of 12.5 Bar to a final pressure of 1.50 Bar. Calculate AU, AH, and AS for the process if Cy = R. The same ideal gas undergoes an adiabatic expansion from the same initial pressure to the same final pressure (and the same initial temperature). Calculate the final temperature, AU, AH, and AS for the process.
Calculate the change in total entropy of system and surroundings for a isothermal irreversible expansion of...
Calculate the change in total entropy of system and surroundings for a isothermal irreversible expansion of 1.9 mol of a perfect gas from 7.3 L to 18.4 L against a constant external pressure of 1.9 bar at 298 K. Answer is 7.5 but I want to understand how to get to that answer.
4. The isothermal compressibility B is defined as 1 jav This quantity measures the fractional change...
4. The isothermal compressibility B is defined as 1 jav This quantity measures the fractional change in volume when the pressure is increased slightly, while the temperature is held constant. Derive an expression for the isothermal compressibility for the van der Waals gas. You may make use of the reciprocity relation ag ах y.2 ag у,2 Caution: Be mindful of which variables must be held constant on both sides.
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. ►...
Calculate the isothermal compressibility and the expansion coefficient of a perfect gas and a van der Waals ga:s (ii) Show, using Euler's chain relation, that KTR α(Vin-b) (iii) Make use of the definitions of the coefficient of thermal expansion, α, and 1. (i) (15) the isothermal compressibility, KT, and start from the expression for the total differential dV in terms of T and P to show that: OT
Gsul Chemistry Reone woonington. Phys chem 341 2nd midterm © Use the ideal gas how to obtain the three functions, P = f (V, T), v =g(P,T), T=h(pu). show that the cyclic rule (2), (), (3), = -1 Calculate the isobatic Volumetric themel expansion coefficient and the isothermal Compressibility, respectively. de fitned by x=+ , k = 1 1 2 3 for an ideal gas at 298 K and 1.00 bar L.
1.00 mile of a monoatomic ideal gas at 298 K undergoes
isothermal expansion from an initial pressure of 12.0 bar to 5.00
bar. Calculate the work if the expansion is done
a) against a constant external pressure
b) reversibly and isothermally.
Problem 3 1.00 mole of a monoatomic ideal gas at 298 K undergoes isothermal expansion from an initial pressure of 12.0 bar to 5.00 bar. Calculate the work if the expansion is done (a) against a constant external pressure...
j
1) The volume thermal expansion coefficient is defined as the fractional change in volume of a substance per unit change in temperature. Consider a closed chamber containing a monatomic ideal gas at atmospheric pressure. Consider its behavior as its temperature is increased by a small amount T, and find its volume expansion coefficient, assuming (a) isobaric and (b) adiabatic conditions. Finally, (c) discuss why these two values are different, and compare them to expansion coefficients of liquids and solids.
Section IV 1 (av vap 1 and isothermal compressibility KT use the 1. Knowing expansion coefficient a T Maxwell relations to justify the following equations: (a) The Joule coefficient is Ay Justify t,Cy p-aT/Kr. T (b) Justify the thermodynamic equation of state tr -p. av ан Justify Hr=-T T +V (c) The isothermal Joule-Thomson coefficient is ur
Two moles of an ideal gas undergo an isothermal expansion at 565 K from a pressure of 12.5 Bar to a final pressure of 1.50 Bar. Calculate AU, AH, and AS for the process if Cy = R. The same ideal gas undergoes an adiabatic expansion from the same initial pressure to the same final pressure (and the same initial temperature). Calculate the final temperature, AU, AH, and AS for the process.
4. The isothermal compressibility B is defined as 1 jav This quantity measures the fractional change in volume when the pressure is increased slightly, while the temperature is held constant. Derive an expression for the isothermal compressibility for the van der Waals gas. You may make use of the reciprocity relation ag ах y.2 ag у,2 Caution: Be mindful of which variables must be held constant on both sides.
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. ►...
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