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(1 6 pts) We derived the thermodynamic eq. of state for dU in class. Use the...
‡ Here we explore the van der Waals equation of state in more detail. (a) Repeat...
‡ Here we explore the van der Waals equation of state in more detail. (a) Repeat Derivation 2.2 for a gas that obeys the equation of state p = nRT/(V − nb), which is appropriate when molecular repulsions are important. Does the gas do more or less work than a perfect gas for the same change of volume? (b) Now repeat the preceding exercise for a gas that obeys the equation of state p = nRT/V − n2a/V2, which is...
In class we derived the following equation 1/[A]_o - [B]_o ln [B]_o [A]/[A]_o [B] = kt...
In class we derived the following equation 1/[A]_o - [B]_o ln [B]_o [A]/[A]_o [B] = kt for a Second-order, class 2 reaction of the form A + B rightarrow products. Derive explixit equations for [A] and [B] as a function of reaction time (t).
Use the formula we derived in class Ze 1 to determine the magnetic field felt by the electron in ...
Use the formula we derived in class Ze 1 to determine the magnetic field felt by the electron in the n = 2 and n = 3 states of the Hydrogen atom. Use these values to determine what the values of a "strong" and "weak" externally applied magnetic field would be
Use the formula we derived in class Ze 1 to determine the magnetic field felt by the electron in the n = 2 and n = 3 states of...
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for t...
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for the classical ideal gas ( Q1) and use above equation to find the value of right-hand side and compare with the value of r we derive in the class. (Recall entropy you derived for classical gas) NK Making use of the fact that the Helmholtz free energy A (N, V, T) of a thermodynamic system is an extensive property of the system....
part b and c In class we derived a Fokker-Planck equation for the velocity distribution P(et)...
part b and c
In class we derived a Fokker-Planck equation for the velocity distribution P(et) starting from the assumption of small random changes in velocity at each time step f.(t) where f(t) is chosen from a distribution WU: ). Einstein's original approach to Brownian motion had a different starting point, focusing on position differences at each time step x(t + Δt)-x(t) + E(t) where £(t) is a random displacement chosen from some distribution W(E). Underlying this ap- proach is...
Problem 2: Cantilever beam In class we derived the spring constant of a beam of length...
Problem 2: Cantilever beam In class we derived the spring constant of a beam of length L and constant bending stiffness El clamped at x=0 and subject to a vertical force Fat x= L. Let's study a few different variations of that problem. Let's replace the vertical force F by a counter clockwise bending moement Mo applied at x = L. Recom- pute the equivalent spring constant. Note that in the class we computed spring constant with force and displacement....
4. Draw a schematic for our voltaic cell that we will be building in class (use...
4. Draw a schematic for our voltaic cell that we will be building in class (use Figure 9.1 as a guide). (6 pts) 5. Write the most simplified form of the Nernst equation that we will be using for our standard calibration curve. (2 pts) 6. Based on the solution concentrations we will be using in lab, calculate the theoretical Ecell values and plot a calibration curve using Excel. Include the equation for the calibration curve. Attach the calibration curve...
In an effort to develop in-depth knowledge of base class, derived class, and operator overloading, we...
In an effort to develop in-depth knowledge of base class, derived class, and operator overloading, we will expand on our in-class exercise of developing the rectangleType class and overload the following operators: +, -, *, ++, --, ==, !=, >>, and <<. Your program should contain the following features: a. Create a base class named rectangleType with following private data members: • length with double type • width with double type b. rectangleType class should contain the following functions: •...
The two Fisher Information expressions used in class: 6. In class, we saw two different expressions...
The two Fisher Information expressions used in class:
6. In class, we saw two different expressions for the Fisher Information (and hence, the CRLB) Here, you will show the two expressions are equal (assuming that you may switch the order of differentiation and integration as needed). As a hint: Differentiatefx(0) d-1 with respect to θ to show that /oo อ In fx (2,0) with respect to θ fx (x:0) dr = 0, Then, differentiate this equation -00 д92
1. Short Answer Questions on Gases: a State whether the following comments are True or Falso....
1. Short Answer Questions on Gases: a State whether the following comments are True or Falso. If false, modify the statement so that it is correct (5 pts ench). 1. Pressure and volume are inversely proportional 2. Gases behave most ideally at high pressure and low temperature 3. Gases have definite shape and no definite volume 4. Pressure and temperature are directly proportional b. In a reaction flask, 120 torr of CO2 is combined with 150 torr of NH3(g) and...
In class we derived the following equation 1/[A]_o - [B]_o ln [B]_o [A]/[A]_o [B] = kt for a Second-order, class 2 reaction of the form A + B rightarrow products. Derive explixit equations for [A] and [B] as a function of reaction time (t).
Use the formula we derived in class Ze 1 to determine the magnetic field felt by the electron in the n = 2 and n = 3 states of the Hydrogen atom. Use these values to determine what the values of a "strong" and "weak" externally applied magnetic field would be
Use the formula we derived in class Ze 1 to determine the magnetic field felt by the electron in the n = 2 and n = 3 states of...
1. Show that for a classical ideal gas, Q1 alnQ1 NK Hint: Start with the partition function for the classical ideal gas ( Q1) and use above equation to find the value of right-hand side and compare with the value of r we derive in the class. (Recall entropy you derived for classical gas) NK Making use of the fact that the Helmholtz free energy A (N, V, T) of a thermodynamic system is an extensive property of the system....
part b and c
In class we derived a Fokker-Planck equation for the velocity distribution P(et) starting from the assumption of small random changes in velocity at each time step f.(t) where f(t) is chosen from a distribution WU: ). Einstein's original approach to Brownian motion had a different starting point, focusing on position differences at each time step x(t + Δt)-x(t) + E(t) where £(t) is a random displacement chosen from some distribution W(E). Underlying this ap- proach is...
Problem 2: Cantilever beam In class we derived the spring constant of a beam of length L and constant bending stiffness El clamped at x=0 and subject to a vertical force Fat x= L. Let's study a few different variations of that problem. Let's replace the vertical force F by a counter clockwise bending moement Mo applied at x = L. Recom- pute the equivalent spring constant. Note that in the class we computed spring constant with force and displacement....
4. Draw a schematic for our voltaic cell that we will be building in class (use Figure 9.1 as a guide). (6 pts) 5. Write the most simplified form of the Nernst equation that we will be using for our standard calibration curve. (2 pts) 6. Based on the solution concentrations we will be using in lab, calculate the theoretical Ecell values and plot a calibration curve using Excel. Include the equation for the calibration curve. Attach the calibration curve...
The two Fisher Information expressions used in class:
6. In class, we saw two different expressions for the Fisher Information (and hence, the CRLB) Here, you will show the two expressions are equal (assuming that you may switch the order of differentiation and integration as needed). As a hint: Differentiatefx(0) d-1 with respect to θ to show that /oo อ In fx (2,0) with respect to θ fx (x:0) dr = 0, Then, differentiate this equation -00 д92
1. Short Answer Questions on Gases: a State whether the following comments are True or Falso. If false, modify the statement so that it is correct (5 pts ench). 1. Pressure and volume are inversely proportional 2. Gases behave most ideally at high pressure and low temperature 3. Gases have definite shape and no definite volume 4. Pressure and temperature are directly proportional b. In a reaction flask, 120 torr of CO2 is combined with 150 torr of NH3(g) and...
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