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Show that MCT, P)-M.LT, P.) = kg Tln() is in agreement with the formula for chemical potential of a monatomic idea...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for an ideal gas at a given temperature T, the chemical potential difference between an arbitrary pressure, P, and a reference pressure, Po, is given by u(P) – u(Po) = kbT In (P/Po). (c) For the case of an incompressible liquid, the volume per particle, v = V/N, is independent of the pressure; show that in this case, one has u(P) – ”(Po) = v...
show a particle of mass m moving in 1D with potential energy U(x) has Boltzmann probability distribution determining the constant C (used Gaussian integrals). Hence for a gas in gravitational field w...
show a particle of mass m moving in 1D with potential energy
U(x) has Boltzmann probability distribution
determining the constant C (used Gaussian integrals). Hence for
a gas in gravitational field with acceleration g show the
probability distribution for finding a particle at height z is
We were unable to transcribe this imagekBT
kBT
A mixture of two monatomic ideal gases consists of Na molecules of gas A and Na...
A mixture of two monatomic ideal gases consists of Na molecules of gas A and Na molecules of gas B in a container of volume V at temperature T. (a) Obtain an expression for natural log of the number of the accessible microstates for each species (ie, ln S, and In Ω), (b) Show that the entropy of the mixture system is 4. EA and Ea are the total energies for the two molecular species, m, and m , the...
do not understand DU TUU UUUUI Slalu! 1. What is the chemical formula for the potential...
do not understand
DU TUU UUUUI Slalu! 1. What is the chemical formula for the potential precipitate that might form when a solution of K3PO4 is mixed with a solution of Al2(SO4)3? Do not write the chemical equation for the reaction, just give the chemical formula for the insoluble product. chemPad X.X" Help Greek = 2. What is the value of Qsp at the moment when 15.0 mL of 4.10 x 10-3 M K3PO4 is mixed with 9.40 mL of...
p(N/m2) 20 10 1.0 x 10 V(m) 50 x 103 0 25x10.3 0 newtons per 1....
p(N/m2) 20 10 1.0 x 10 V(m) 50 x 103 0 25x10.3 0 newtons per 1. One mole of an ideal monatomic gas, initially at point A at a pressure of 1.0 x 1 meter squared and a volume of 25 x 10 m', is taken through a 3-process cycle, as shown in the capacities for constant volume and constant pressure are, respectively, C /2)R (5/2)R, where R is the universal gas constant, 8.32 J/mole K. Determine each of the...
Fluid mechanics Please show all work. The answer is p = 1.8 kg/m3 3) A gas...
Fluid mechanics
Please show all work.
The answer is p = 1.8 kg/m3
3) A gas at initial density 1.0 kg/m3 is compressed inside a cylinder of total length L = 0.5 m, The velocity of the gas in the direction of compression varies linearly from V- 10 cm/s at x-0 to V 0 cm/s at x -L (the end of the cylinder). Calculate the gas density after 3 s of compression. v (x) x=L x=0
A cube with side length of L -0.5 m and mass of 500 kg is held...
A cube with side length of L -0.5 m and mass of 500 kg is held by a rope in a tank filled with water (mass density 1000 kg/m"). If the atmospheric pressure is 10' Pa, determine: a. the magnitude and the direction of the total force acted on the top part of the cube, b. the buoyant force on the cube, c. the tension of the rope. nun in the 10-3 m Tone by the 5. A number of...
A compound of phosphorus and oxygen contains 43.64 % by mass phosphorous. The empirical formula is...
A compound of phosphorus and oxygen contains 43.64 % by mass phosphorous. The empirical formula is (a) PO (6) PO₂ (c) P₂0 (d) PO (1) P₃0. Assuming ideal gas behavior, the density, in g/L of N,O(g) at 1.53 atm and 45.2 °C is (b) 1.76 g/L (c) 16.4 g/L (a) 18.2 g/L (e) none of the above. (d) 2.58 g/L When the measured quantity 7.43 g/cm is converted to kg/m the answer is (a) 7.43 x10 kg/m² (b) 7.43 x...
Particle in a cylindrically symmetrical potential Let p, o, z be the cylindrical coordinates of a...
Particle in a cylindrically symmetrical potential Let p, o, z be the cylindrical coordinates of a spinless 1. (x = ? coso, y = ? sin ?, p 0, 0 <p < 2?). Assume that the potential en of this particle depends only on , and not on ? and z. Recall that: a. Write, in c ylindrical coordinates, the differential operator associated with the Hamiltonian. Show that H commutes with L, and P. Show fr the wave functions chosen...
9) An insulated container contains V liters of hot water at temperature T. If M kg...
9) An insulated container contains V liters of hot water at temperature T. If M kg of ice at 0 °C is added to the water, what is the temperature of the system when it reaches equilibrium? Reminder, for water: 1L = 1 kg Cwater = 4190 Cice = 2100 ROK Lboll = 2.26 x 106 steam kg = 2000 .,Lmelt = 3.33 x 105 kg kg kg 10) In an engine, after the fuel is ignited, there is a...
5. (a) Derive the following Maxwell relation for a fluid system: ()-), (b) Show that for an ideal gas at a given temperature T, the chemical potential difference between an arbitrary pressure, P, and a reference pressure, Po, is given by u(P) – u(Po) = kbT In (P/Po). (c) For the case of an incompressible liquid, the volume per particle, v = V/N, is independent of the pressure; show that in this case, one has u(P) – ”(Po) = v...
show a particle of mass m moving in 1D with potential energy
U(x) has Boltzmann probability distribution
determining the constant C (used Gaussian integrals). Hence for
a gas in gravitational field with acceleration g show the
probability distribution for finding a particle at height z is
We were unable to transcribe this imagekBT
kBT
A mixture of two monatomic ideal gases consists of Na molecules of gas A and Na molecules of gas B in a container of volume V at temperature T. (a) Obtain an expression for natural log of the number of the accessible microstates for each species (ie, ln S, and In Ω), (b) Show that the entropy of the mixture system is 4. EA and Ea are the total energies for the two molecular species, m, and m , the...
do not understand
DU TUU UUUUI Slalu! 1. What is the chemical formula for the potential precipitate that might form when a solution of K3PO4 is mixed with a solution of Al2(SO4)3? Do not write the chemical equation for the reaction, just give the chemical formula for the insoluble product. chemPad X.X" Help Greek = 2. What is the value of Qsp at the moment when 15.0 mL of 4.10 x 10-3 M K3PO4 is mixed with 9.40 mL of...
p(N/m2) 20 10 1.0 x 10 V(m) 50 x 103 0 25x10.3 0 newtons per 1. One mole of an ideal monatomic gas, initially at point A at a pressure of 1.0 x 1 meter squared and a volume of 25 x 10 m', is taken through a 3-process cycle, as shown in the capacities for constant volume and constant pressure are, respectively, C /2)R (5/2)R, where R is the universal gas constant, 8.32 J/mole K. Determine each of the...
Fluid mechanics
Please show all work.
The answer is p = 1.8 kg/m3
3) A gas at initial density 1.0 kg/m3 is compressed inside a cylinder of total length L = 0.5 m, The velocity of the gas in the direction of compression varies linearly from V- 10 cm/s at x-0 to V 0 cm/s at x -L (the end of the cylinder). Calculate the gas density after 3 s of compression. v (x) x=L x=0
A cube with side length of L -0.5 m and mass of 500 kg is held by a rope in a tank filled with water (mass density 1000 kg/m"). If the atmospheric pressure is 10' Pa, determine: a. the magnitude and the direction of the total force acted on the top part of the cube, b. the buoyant force on the cube, c. the tension of the rope. nun in the 10-3 m Tone by the 5. A number of...
A compound of phosphorus and oxygen contains 43.64 % by mass phosphorous. The empirical formula is (a) PO (6) PO₂ (c) P₂0 (d) PO (1) P₃0. Assuming ideal gas behavior, the density, in g/L of N,O(g) at 1.53 atm and 45.2 °C is (b) 1.76 g/L (c) 16.4 g/L (a) 18.2 g/L (e) none of the above. (d) 2.58 g/L When the measured quantity 7.43 g/cm is converted to kg/m the answer is (a) 7.43 x10 kg/m² (b) 7.43 x...
Particle in a cylindrically symmetrical potential Let p, o, z be the cylindrical coordinates of a spinless 1. (x = ? coso, y = ? sin ?, p 0, 0 <p < 2?). Assume that the potential en of this particle depends only on , and not on ? and z. Recall that: a. Write, in c ylindrical coordinates, the differential operator associated with the Hamiltonian. Show that H commutes with L, and P. Show fr the wave functions chosen...
9) An insulated container contains V liters of hot water at temperature T. If M kg of ice at 0 °C is added to the water, what is the temperature of the system when it reaches equilibrium? Reminder, for water: 1L = 1 kg Cwater = 4190 Cice = 2100 ROK Lboll = 2.26 x 106 steam kg = 2000 .,Lmelt = 3.33 x 105 kg kg kg 10) In an engine, after the fuel is ignited, there is a...
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Question 501 pts
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