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Consider the case where A longrightdoublearrow B longrightdoublearrow C and where lambda_A = lambda_B. Derive an...
Question: Consider again the decay chain in Problem 2.39 in which the nuclide A is produced...
Question: Consider again the decay chain in Problem 2.39 in
which the nuclide A is produced at the constant rate of R
atoms/sec. Derive an expression for the activity of B as a function
of time.
Here is #2.39 for reference:
Domy ICICIKG 39. Consider the chain decay ABC, with no atoms of B present at t = 0. 1. Show that the activity of Brises to a maximum value at the time to given by at which time the...
Consider the following logical expressions where A + B denotes A logical OR B, AB denotes...
Consider the following logical expressions where A + B denotes A logical OR B, AB denotes A logical AND B, and ¯ A denotes inverse of A. Derive at least one additive (to be added by logical OR operation) term (excluding obvious 0, 1, A ¯ A or similar) which will not affect the result of the expression. For example, adding (by means of logical OR) term B C D to AB C+ ¯AB D does not change the result,...
Consider the following logical expressions where A + B denotes A logical OR B, AB denotes...
Consider the following logical expressions where A + B denotes A logical OR B, AB denotes A logical AND B, and ¯ A denotes inverse of A. Derive at least one additive (to be added by logical OR operation) term (excluding obvious 0, 1, A ¯ A or similar) which will not affect the result of the expression. For example, adding (by means of logical OR) term B C D to AB C+ ¯AB D does not change the result,...
(20 pts.) Consider two competing reactions: In this case, A decomposes to give B and C...
(20 pts.) Consider two competing reactions: In this case, A decomposes to give B and C via two competing paths. Assuming each path is irreversible and that each reaction is first-order: (a) Write the rate law for the overall reaction. (b) Derive the integrated rate expression for [A]
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the tra...
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the transfer functionH(s)0 in erms of R, Ri and C. (b) At what frequency will the magnitude of Hju) be maximum? Write down the maxi- mum value (c) At what frequency w will the magnitude of H(jw) equal its maximum value divided by V2 (the half power)? (d) Derive the expression for the phase e(ju) both...
Derive Equation f = V1 + B fo for the case where the source is fixed...
Derive Equation f = V1 + B fo for the case where the source is fixed but the receiver approaches it with velocity v. B V According to the fixed source (K) the signal and receiver move at speeds c and v, respectively, in the same direction, so their relative speed is The time interval between receipt of signals is the following. • At = = N(v2) = to At = 1/(c2) = 1/60 At = 1/(c - v) =...
Newtonian Cosmology 1. In class, we solved the Friedmann equation for the critical case, where the...
Newtonian Cosmology 1. In class, we solved the Friedmann equation for the critical case, where the constant of integration was set to k 0; this resulted in the Einstein-de Sitter model, where a ox t2/3 Now, let us consider the closed case (k 1), where the universe starts with a Big Bang, reaches a maximum expansion, turns around, and eventually ends in a Big Crunch. For the closed model, it is convenient to write the Friedmann equation as follows: 8T...
A long wire with circular cross section and diameter D = 1 mm is submerged in an oil bath with temperature To 20。C. The wire is initially at temperature T = 20。C, the same temperature as the oil. A...
A long wire with circular cross section and diameter D = 1 mm is submerged in an oil bath with temperature To 20。C. The wire is initially at temperature T = 20。C, the same temperature as the oil. A current is passed through the wire, resulting in a volumetric heat generation of q - 1.5 x 108 W/m3. The convection coefficient is h - 500 W/m2 - K, and the properties of the wire are ρ-8000 kg/m3, Cp-500 J/kg-K, and...
()=< a) Consider the case where a modulating tone v, a cos(2ft) is used in a...
()=< a) Consider the case where a modulating tone v, a cos(2ft) is used in a Double Side Band m Amplitude Modulation (DSC-AM) scheme whose varying with time carrier amplitude is [K+a cos(2ft Provide the equation of the modulated carrier signal v (t and then derive from that an expression that shows the spectral components of v (t). Furthermore provide the phasor representation of DSB-AM. Now consider the case of Double Side Band Suppressed carrier AM and provide both the...
Consider sets A, B, and C where
Consider sets A, B, and C where \(A \cap B \neq \emptyset\) and \(A \cap C \neq \emptyset\) and \(B \cap C \neq \emptyset\). Consider the following set expression:$$ \overline{((A \cup B)-(A \cap B)) \cup((B \cup C)-(B \cap C)) \cup((A \cup C)-(A \cap C))} $$a) Draw an appropriate Venn diagram and shade the area represented by the set expression above.b) Write the dual of the set expression above.c) Are the sets \(A \cap B, A \cap C\), and \(B \cap C\)...
Question: Consider again the decay chain in Problem 2.39 in
which the nuclide A is produced at the constant rate of R
atoms/sec. Derive an expression for the activity of B as a function
of time.
Here is #2.39 for reference:
Domy ICICIKG 39. Consider the chain decay ABC, with no atoms of B present at t = 0. 1. Show that the activity of Brises to a maximum value at the time to given by at which time the...
(20 pts.) Consider two competing reactions: In this case, A decomposes to give B and C via two competing paths. Assuming each path is irreversible and that each reaction is first-order: (a) Write the rate law for the overall reaction. (b) Derive the integrated rate expression for [A]
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the transfer functionH(s)0 in erms of R, Ri and C. (b) At what frequency will the magnitude of Hju) be maximum? Write down the maxi- mum value (c) At what frequency w will the magnitude of H(jw) equal its maximum value divided by V2 (the half power)? (d) Derive the expression for the phase e(ju) both...
Derive Equation f = V1 + B fo for the case where the source is fixed but the receiver approaches it with velocity v. B V According to the fixed source (K) the signal and receiver move at speeds c and v, respectively, in the same direction, so their relative speed is The time interval between receipt of signals is the following. • At = = N(v2) = to At = 1/(c2) = 1/60 At = 1/(c - v) =...
Newtonian Cosmology 1. In class, we solved the Friedmann equation for the critical case, where the constant of integration was set to k 0; this resulted in the Einstein-de Sitter model, where a ox t2/3 Now, let us consider the closed case (k 1), where the universe starts with a Big Bang, reaches a maximum expansion, turns around, and eventually ends in a Big Crunch. For the closed model, it is convenient to write the Friedmann equation as follows: 8T...
A long wire with circular cross section and diameter D = 1 mm is submerged in an oil bath with temperature To 20。C. The wire is initially at temperature T = 20。C, the same temperature as the oil. A current is passed through the wire, resulting in a volumetric heat generation of q - 1.5 x 108 W/m3. The convection coefficient is h - 500 W/m2 - K, and the properties of the wire are ρ-8000 kg/m3, Cp-500 J/kg-K, and...
()=< a) Consider the case where a modulating tone v, a cos(2ft) is used in a Double Side Band m Amplitude Modulation (DSC-AM) scheme whose varying with time carrier amplitude is [K+a cos(2ft Provide the equation of the modulated carrier signal v (t and then derive from that an expression that shows the spectral components of v (t). Furthermore provide the phasor representation of DSB-AM. Now consider the case of Double Side Band Suppressed carrier AM and provide both the...
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