Over narrow ranges of temperature (T) and pressure (P), the volume of a fluid may be...
Over narrow ranges of temperature (T) and pressure (P), the volume of a fluid may be expressed as V = C exp(?PT) exp(-?TP), where ?P denotes the isobaric thermal expansion coefficient of the fluid, ?T denotes the isothermal compressibility of the fluid, and C denotes a constant (independent of both P and T). Show that V, as expressed above, is a state function.
Edit: It appears as though it's V = C^((?PT)(-?TP)).
Homework Answers
Add Answer to:
Over narrow ranges of temperature (T) and pressure (P), the
volume of a fluid may be...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...
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)
1. The volume of water relative to its volume at STP at various temperatures and pressures...
1. The volume of water relative to its volume at STP at various temperatures and pressures is: T V T/C 40 60 80 1 V (1 am) 1.0074 .0115 1.0164 (500 am) 0.9867 0.9967 1.0071 Determine the expansion coefficient, a, (at 60°C for both p=1 and p=500 atm) and the isothermal compressibility, kr (at 250 atm for T-40, 60 and 80°C) a ==C), K = - ),
Also known are the Equations of State in the Entropy form: 3.9-4. Compute Cp, Cu, Ks,...
Also known are the Equations of State in the Entropy form:
3.9-4. Compute Cp, Cu, Ks, and Ky for the system in Problem 1.10-1(a). With these values corroborate the validity of equations 3.75 and 3.76. R21/3 a) S = 3) (NVUJI 0.0 The coefficient of thermal expansion is defined by 1/ av var (6) - FCT). (3.67) The coefficient of thermal expansion is the fractional increase in the volume per unit increase in the temperature of a system maintained at...
An ideal monatomic gas initially has a temperature of T and a pressure of p. It is to expand...
An ideal monatomic gas initially has a temperature of T and a pressure of p. It is to expand from volume V1 to volume V2. If the expansion is isothermal, what are thefinal pressure pfi and the work Wi done by the gas? If, instead, the expansion is adiabatic, what are the final pressure pfa and the work Wa done by the gas? Stateyour answers in terms of the given variables.
Part A Explain why chemists conducting quantitative work using liquid solutions prefer to express concentration in...
Part A Explain why chemists conducting quantitative work using liquid solutions prefer to express concentration in terms of molality rather than molarity. Match the items in the left column to the appropriate blanks in the sentences on the right. Reset Help less is independent of The molality of a solution is the preferred unit because it P and T. is a conserved quantity, independent of temperature and pressure. , however, changes as T or P are varied because the thermal...
The ideal gas law (PV=nRT) describes the relationship among pressure P, volume V, temperature T, and...
The ideal gas law (PV=nRT) describes the relationship among pressure P, volume V, temperature T, and molar amount n. Fix n and V When n and V are fixed, the equation can be rearranged to take the following form where k is a constant: PT=nRV=k or (PT)initial=(PT)final This demonstrates that for a container of gas held at constant volume, the pressure and temperature are directly proportional.The relationship is also called Gay-Lussac's law after the French chemist Joseph-Louis Gay-Lussac, one of...
Problem 1-2: Consider blackbody radiation in thermal equilibrium at temperature T in a volume V. For...
Problem 1-2: Consider blackbody radiation in thermal equilibrium at temperature T in a volume V. For an adiabatic (isentropic) expansion of this volume, show that TV1/3 is conserved. [Hint: The equation of state for a photon gas is 1/3, i.e. P/(U/V) = 1/3, where P is the pressure and U is the internal energy.
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
Question 10 Statistical thermodynamics may be used to find the radiation pressure P for cavity (or...
Question 10 Statistical thermodynamics may be used to find the radiation pressure P for cavity (or black body) radiation in terms of the energy per unit volume u. (a) An ideal quantum gas comprises non-interacting identical particles with discrete quantum states labelled 1, 2, ...,r ,....The partition function is given by Z (T,V,N)- > exp(-B(n,&, + п,&, +...)} пп. (i) Define the symbols n1, n2,...,n,...and 81, 82, ..., Er,... (iiExplain why, for photons, the partition function may be expressed as:...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...
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)
1. The volume of water relative to its volume at STP at various temperatures and pressures is: T V T/C 40 60 80 1 V (1 am) 1.0074 .0115 1.0164 (500 am) 0.9867 0.9967 1.0071 Determine the expansion coefficient, a, (at 60°C for both p=1 and p=500 atm) and the isothermal compressibility, kr (at 250 atm for T-40, 60 and 80°C) a ==C), K = - ),
Also known are the Equations of State in the Entropy form:
3.9-4. Compute Cp, Cu, Ks, and Ky for the system in Problem 1.10-1(a). With these values corroborate the validity of equations 3.75 and 3.76. R21/3 a) S = 3) (NVUJI 0.0 The coefficient of thermal expansion is defined by 1/ av var (6) - FCT). (3.67) The coefficient of thermal expansion is the fractional increase in the volume per unit increase in the temperature of a system maintained at...
Part A Explain why chemists conducting quantitative work using liquid solutions prefer to express concentration in terms of molality rather than molarity. Match the items in the left column to the appropriate blanks in the sentences on the right. Reset Help less is independent of The molality of a solution is the preferred unit because it P and T. is a conserved quantity, independent of temperature and pressure. , however, changes as T or P are varied because the thermal...
Problem 1-2: Consider blackbody radiation in thermal equilibrium at temperature T in a volume V. For an adiabatic (isentropic) expansion of this volume, show that TV1/3 is conserved. [Hint: The equation of state for a photon gas is 1/3, i.e. P/(U/V) = 1/3, where P is the pressure and U is the internal energy.
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
Question 10 Statistical thermodynamics may be used to find the radiation pressure P for cavity (or black body) radiation in terms of the energy per unit volume u. (a) An ideal quantum gas comprises non-interacting identical particles with discrete quantum states labelled 1, 2, ...,r ,....The partition function is given by Z (T,V,N)- > exp(-B(n,&, + п,&, +...)} пп. (i) Define the symbols n1, n2,...,n,...and 81, 82, ..., Er,... (iiExplain why, for photons, the partition function may be expressed as:...
Most questions answered within 3 hours.
-
Two waves are traveling on a string, one with a wave function,
y1 = 0.05sin(4x -...
asked 4 minutes ago -
Develop an ideal customer profile for three Dell Customer
groups( a supplier, a global business, and...
asked 6 minutes ago -
Suppose, for any future year, the probability its October rain
is more than 3 inches is...
asked 11 minutes ago -
Solve the following systems of linear equations using
substitution 12p + 3q = 15 6q +...
asked 18 minutes ago -
Prof. D went grocery shopping and purchased one dozen eggs and
one pound of flour (all...
asked 25 minutes ago -
If
somehow loop of Henle were removed - that is if the proximal tubule
was connected...
asked 25 minutes ago -
Add 1ml of 0.18M of HCl (aq) to 1ml of 0.2M of [Ag(NH3)2]Br
(aq).
Write the...
asked 33 minutes ago -
1. Smoke detectors use Am-241, an alpha emitter, to detect smoke
particles. A parent is concerned...
asked 37 minutes ago -
Scenario: Web application developed to capture customers
demographic and financial information for filling their taxes. This...
asked 41 minutes ago -
Which of the following statements are true?
1. Glass is mostly silicon dioxide and so when...
asked 1 hour ago -
Korman Company has the following securities in its portfolio of
equity securities on December 31, 2018:...
asked 1 hour ago -
Using the 12th edition of Language Awareness,
complete the following assignment:
After reading Akiba Solomon's "Thugs....
asked 1 hour ago