Question

Derive equation bolometric Solar luminosity,

L = 3.8 × 1033 erg s−1. Use ray leigh jeans equation.

Answer #1

a) Given the Sun’s luminosity today, (L = 3.39x10^33 erg s^-1)
how many protons are consumed per second by nuclear reactions in
the center of the Sun?
b) Assuming that 2 protons are converted into 2 neutrons each
time the Sun makes 1 4He nucleus, what is the flux of neutrinos
from the Sun at the Earth’s orbit? Give your answer in [number of
neutrinos per second per square centimeter].

Use integration to derive the formula for the area of an ellipse
with equation x^2/a^2+ Y^2/b2 = 1 (the symmetry of the ellipse
across the y and x-axes may be used in your solution without
proof).

Consider the proposed matrix factorization: A = LS, where L is
lower triangular with 1’s on the diagonal, and S is symmetric. (a)
Show how the LU decomposition can be used to derive this
factorization. (b) What conditions must A satisfy for this
factorization to exist?

Given the differential equation
y''−2y'+y=0, y(0)=1, y'(0)=2
Apply the Laplace Transform and solve for Y(s)=L{y}
Y(s) =
Now solve the IVP by using the inverse Laplace Transform
y(t)=L^−1{Y(s)}
y(t) =

Use the reaction enthalpies below to determine Hrxn for the
following reaction:
Ca(s)+2H20(l)--Ca(OH)2(s)+H2(g)
Given:
H2(g)+1/2O2(g)--H20(l) Hrxn= -285kJ
Ca(OH)2(s)--CaO(s)+H2O(l) Hrxn= 64kJ
2Ca(s)+O2(g)--2CaO(s) Hrxn= -1270kJ

1- Write balanced complete ionic equation for
K2SO4(aq)+CaI2(aq)?CaSO4(s)+KI(aq)
2- Write balanced net ionic equation for
K2SO4(aq)+CaI2(aq)?CaSO4(s)+KI(aq)
3- Write balanced complete ionic equation for
NH4Cl(aq)+NaOH(aq)?H2O(l)+NH3(g)+NaCl(aq)
4- Write balanced net ionic equation for
NH4Cl(aq)+NaOH(aq)?H2O(l)+NH3(g)+NaCl(aq)
5- Write balanced complete ionic equation for
AgNO3(aq)+NaCl(aq)?AgCl(s)+NaNO3(aq)
6- Write balanced net ionic equation for
AgNO3(aq)+NaCl(aq)?AgCl(s)+NaNO3(aq)
7- Write balanced complete ionic equation for
HC2H3O2(aq)+K2CO3(aq)?H2O(l)+CO2(g)+KC2H3O2(aq)
8- Write balanced net ionic equation for
HC2H3O2(aq)+K2CO3(aq)?H2O(l)+CO2(g)+KC2H3O2(aq)
(Express your answer as a chemical equation.
Identify all of the phases in your answer)

1. Given the equation H3PO4(aq) + NaOH(aq) --->
NaH2PO4(aq) + H2O(l) :
a) Rewrite it as a net ionic equation, assuming that H3PO4 is a
weak acid.
b) Use the net ionic equation and a table of standard enthalpies
of formation to calculate the heat change for exactly 1 mole of
each reactant producing exactly 1 mole of each product. Be careful
to use aqueous solution values (aq).
c) Calculate the heat change for 0.100 mole of each reactant
producing...

3.8/3.9
5. Use Newton's Method to approximate the zero(s) of the
function. Continue the iterations until two successive
approximations differ by less than 0.001. Then find the zero(s) to
three decimal places using a graphing utility and compare the
results.
f(x) = 3 − x + sin(x)
Newton's Method: x=
Graphing Utility: x=
6. Find the tangent line approximation T to the graph
of f at the given point. Then complete the table. (Round
your answer to four decimal places.)...

Consider the following recursive equation s(2n) = 2s(n) + 3;
where n = 1, 2, 4, 8, 16, ...
s(1) = 1
a. Calculate recursively s(8)
b. Find an explicit formula for s(n)
c. Use the formula of part b to calculate s(1), s(2), s(4), and
s(8)
d Use the formula of part b to prove the recurrence equation
s(2n) = 2s(n) + 3

3. Cu(s) + 4HNO3(aq) --> Cu(NO3)2(aq) + 2NO2(g) + 2H2O(l)
a)Write the net ionic equation for the reaction of concentrated
nitric acid with solid copper
b) calculate the volume of concentrated nitric acid (16M)
required to react with 0.37 g of Cu(s)
c) If you use 1.69 mL (an excess) of HNO3, what volume of 5.0M
NaOH will you need to neutralize the solution after the copper is
compeltely dissolved?

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