Questions asked by seol

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• The work function for mercury is equivalent to 435kJ/mol photons. What is the kinetic energy, in joules, of the ejected electrons when light of 188 nm strikes a mercury surface?
  
• Determine the wavelength, in nanometers, of the line in the Balmer series corresponding to #n_2# = 5? Express your answer using five significant figures.
  
• Find the following for function #f(x)=\ln(x^4+1)#...?
  
• Show that the equation #\sin(x)-6x=0# has exactly one root...?
  
• What is the velocity of an electron that makes a transition corresponding to the longest wavelength line of the Lyman series?
  
• How much energy, in joules, must be absorbed if all the #O_3# molecules in the sample of air are to dissociate? Assume that each photon absorbed causes one #O_3# molecule to dissociate, and that the wavelength of the radiation is 254 nm.
  
• Find the dimensions that will minimize the cost of the material?
  
• Two hydrogen atoms interact to form a hydrogen molecule. Classify the following statements that describe the stages of bond formation in a hydrogen molecule according to the predominant force existing between the two hydrogen atoms...?
  
• A solar cell that is 15% efficient in converting solar to electric energy produces an energy flow of 1.00 kW/#\text(m)^2# when exposed to full sunlight. The cell has an area of 30.0 #\text(cm)^2#. (a) What is the power output of the cell, in watts?
  
• Consider the function #f(x)=e^(-x^(2))#?
  
• Solve the following (limit; L'Hospital's Rule)?
  
• L'Hospital's Rule question: Find #\lim_{t\rightarrow\infty}v(t)#?
  
• If Newton's Method is used to locate a root of the equation #f(x)=0# and the initial approximation is #x_1=2#, find the second approximation #x_2#?
  
• (full question below) "How much water would you expect to vaporize, assuming no water splashes out?"
  
• What is the molecular orbital diagram for #C_2^-#?
  
• Determine a region whose area is equal to the given limit?
  
• Express the integral as a limit of Riemann sums?
  
• Evaluate the indefinite integral #\int(x^2-1)/(x^3-3x+1)dx# using substitution?
  
• Starting with #"1.20 g"# of #A#, what is the mass of #A# remaining undecomposed after #"1.00 h"#?
  
• What is the initial partial pressure, in mmHg, of N2O5(g)?
  
• Measles pathogenesis curve by function #f# (see details for questions)?
  
• What mass of benzoic acid, #C_6H_5COOH#, would you dissolve in 400.0 mL of water to produce a solution with a pH = 2.95?
  
• In a #0.70 M# solution of benzoic acid, what percentage of the molecules are ionized (CHEMISTRY 1B problem)?
  
• What is the pH of a solution in which #1\times10^(-7)# moles of the strong acid, HCl is added to one liter of water?
  
• For a solution that is 0.285 M #HC_3H_5O_2# (propionic acid, #K_a=1.3×10−5#) and 0.0888 M HI, calculate the following?
  
• How many millimoles of strong acid or strong base can be added to the solution before any significant change in pH occurs?
  
• A beaker with #1.50 xx 10^2"mL"# of an acetic acid buffer with a pH of 5.000 is sitting on a benchtop. The total molarity of acid and conjugate base in this buffer is 0.100 M. A student adds 7.00 mL of a 0.360 M HCl solution to the beaker?
  
• Compute pH before/after addition of NaOH?
  
• Determine the molar solubility of #PbCl_2# in 0.16 M #HCl(aq)#?
  
• What is the solubility of #MnS#, in grams per liter, in a buffer solution that is 0.105 M #CH_3COOH# - 0.490 M #NaCH_3COO#?
  
• At what approximate temperature will an equimolar mixture of #N_2(g)# and #O_2(g)# be 3.0 % converted to #NO(g)#?
  
• What is the total pressure of the gases in the flask at this point?
  
• Part A What must be the temperature if the following reaction has ΔG0= -44.0 kJ , ΔH0=-24.8 kJ, and ΔS0=15.2 JK−1?
  
• Which of the following processes shows a decrease in entropy of the system?
  
• Consider the following reaction; use the information here to determine the value of #\DeltaS_(surr)# at 398 K ... Will this reaction be spontaneous at this temperature?
  
• Calculate the #\DeltaG°_(rxn)# using the following information?
  
• Determine whether the series converge or diverge?
  
• What is the cell potential for the reaction# Mg(s)+Fe^(2+)(aq)\rarrMg^(2+)(aq)+Fe(s)# at 47 °C when #[Fe^(2+)]#= 3.50 M and #[Mg^(2+)]#= 0.110 M?
  
• The following cell is operated as an electrolytic cell, using a current of 0.480 A . The volume of each solution is 100.0 mL. Electrolysis is stopped after 10.00 h , and the cell is allowed to function as a voltaic cell. What is #E_(cell)# at this point?
  
• Which samples result in a sample mean that overestimates the population mean...?
  
• #(dy)/(dx) = 3x^2(1+y^2)^(3/2)#?
  
• Why are lower and upper fences important?
  
• How many license plates can be made consisting of 2 letters followed by 3 digits (using the fundamental counting principle to solve)?
  
• Probability questions?
  
• What is the probability that in three consecutive rolls of two fair dice, a person gets a total of 7, followed by a total of 11, followed by a total of 7?
  
• A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects; what is the probability that at least one of the calculators is defective?
  
• #y^{'''}-3y^{''}+2y^'=\frac{e^{2x}}{1+e^x}#?
  
• "Compute the probability of #x# successes in the #n# independent trials of the experiment" ?
  
• Identify which type of sampling is used?
  
• Construct a frequency polygon using six classes and a class width of 3?
  
• Determine whether a census is practical in the situation described?
  
• "The graph of a normal curve is given. Use the graph to identify the values of #\mu# and #\sigma#" ?
  
• What proportion of the numbers are between 0 and 0.2 (normal distribution)?
  
• Probability with samples?
  
• Experimental/observational studies & relative frequencies?
  
• Mean/median/mode and range/standard deviation/variance (sample)?
  
• Explain using the concept of a confidence interval (population proportion)?
  
• Data missing for question? :\
  
• Express the confidence interval using the indicated format?
  
• Interpret the interval?
  
• Use the given information to find the minimum sample size required to estimate an unknown population mean #\mu#?
  
• Monohybrid Crosses (Mendelian Inheritance) question?
  
• Define the following in relations to each other?
  
• #\int_0^1e^x/(1+e^(2x))dx=?#
  
• #\int\sinh^2(x)\cosh(x)dx#?
  
• #\intx(2x+5)^8dx#?
  
• #\int_t^5(dt)/((t-4)^2)#?
  
• Find the number #b# such that the line y=b divides the region...?
  
• Find the values of #c# such that the area...?
  
• Find the volume of the solid via cross-sections?
  
• #\int_(0)^(15)x^2\sqrt(a^2-x^2)dx#?
  
• Find the exact length of the curve?
  
• Cylindrical shells (parts in details)?
  
• Solve #\int(x^3/\sqrt(1-x^2))dx# using two methods?
  
• Solve (5 questions)?
  
• English prompt question?
  
• A series of integral based questions?
  
• #\int_0^\inftye^(-ax)\cos(bx)dx#?
  
• #\int(x^3+x)/(x-1)dx#?
  
• #\int1/(x-b)dx#?
  
• #\sum_(n=1)^\inftyn/(n^4+1)#?
  
• Does the series #a_n=(1+n)^(1/n)# converge or diverge?
  
• #\lim_(n\rarr\infty)(1-4/n)^n#: convergent or divergent?
  
• Is the following series #6-2+2/3-2/9+2/27-2/81# convergent or divergent?
  
• What is the general solution of the differential equation #y-xy'=3-2x^2y'#?
  
• What is the general solution of the differential equation #y'-1/xy=2x^2\lnx#?
  
• Find the values of #x# for which the following series is convergent?
  
• Series and sequences?
  
• Derivation and application of reduction formula?
  
• Evaluate #I=\int\cos^4(x)dx#?
  
• Evaluate #I=\int\sec^3(x)dx#?
  
• #\int(x^2dx)/(\sqrt(4-9x^2))#?
  
• #\intx^3\sqrt(1-x^2)dx#?
  
• #\int1/(x^2+a^2)dx#?
  
• Partial fractions #\int5/((x^2+2x+2)(x-1))#?
  
• LaTeX/MathJax: How to format in biography and/or comments?
  
• #\int5/((x^2+2x+2)(x-1))dx#?
  
• Approximate #\int_0^2(1)/(1+x^3)dx# using the Midpoint Rule, given #n=4#? Please check my work
  
• Approximate #\int_0^2 1/(1+x^3)dx# using Trapezoid Rule?
  
• I don't understand this explanation for #\sum_(n=0)^\infty((-1)^n)/(5n-1)#? Why test for convergence/divergence AGAIN, if the Limit Comparison Test confirms that both series are the same?
  
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