Category Archives: #question
What is the wavelength in meters of an FM radio wave with frequency ν = 141.5MHz ?
What is the wavelength of a medical X ray with ν = 9.60×10^17Hz ?
Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength (λ) and frequency (ν) are related according to the equation
where c is the speed of light (3.00×108 m/s). The energy (E in joules) contained in one quantum of electromagnetic radiation is described by the equation
where h is Planck’s constant (6.626×10−34 J⋅s). Note that frequency has units of inverse seconds (s−1), which are more commonly expressed as hertz (Hz).
A microwave oven operates at 2.50GHz . What is the wavelength of the radiation produced by this appliance?
Several properties are used to define waves. Every wave has a wavelength, which is the distance from peak to peak or trough to trough. Wavelength, typically given the symbol λ(lowercase Greek “lambda”), is usually measured in meters. Every wave also has afrequency, which is the number of wavelengths that pass a certain point during a given period of time. Frequency, given the symbol ν (lowercase Greek “nu”), is usually measured in inverse seconds (s−1). Hertz (Hz), another unit of frequency, is equivalent to inverse seconds.
The product of wavelength and frequency is the speed in meters per second (m/s). For light waves, the speed is constant. The speed of light is symbolized by the letter c and is always equal to 2.998×108 m/s in a vacuum; that is,
Another term for “light” is electromagnetic radiation, which encompasses not only visible light but also gamma rays, X-rays, UV rays, infrared rays, microwaves, and radio waves. As you could probably guess, these different kinds of radiation are associated with different energy regimes. Gamma rays have the greatest energy, whereas radio waves have the least energy. The energy (measured in joules) of a particular kind of light wave is equal to its frequency times a constant called Planck’s constant, symbolized h:
A radio station’s channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1MHz=106Hz and 1Hz=1s−1.
1.) Calculate the broadcast wavelength of the radio station 95.10 FM.
2. Green light has a frequency of about 6.00×1014s−1. What is the energy of green light?
3.) Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1nm=10−9m. What is the energy of the X-rays?
How would you prepare the following substances by a precipitation reaction?
What is the total molar concentration of ions in each of the following solutions? Assuming complete dissociation.
1.) .750 M of K2CO3
2.) .355 M of AlCl3
Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300. mg HCN per kilogram of air when inhaled. The density of air at26 ∘C is 0.00118 g/cm3.
Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring 12.0 ft×15.0 ft×8.50ft.
Consider the formation of HCN by the reaction of NaCN(sodium cyanide) with an acid such as H2SO4 (sulfuric acid):
What mass of NaCN gives the lethal dose in the room?
HCN forms when synthetic fibers containing Orlon® or Acrilan®burn. Acrilan® has an empirical formula of CH2CHCN, so HCN is 50.9% of the formula by mass. A rug in the laboratory measures 12.0× 15.0ft and contains 30.0 oz of Acrilan® fibers per square yard of carpet. If the rug burns, what mass of HCNwill be generated in the room? Assume that the yield of HCNfrom the fibers is 20.0% and that the carpet is 37.0% consumed.
Melamine, C3N3(NH2)3, is used in adhesives and resins. It is manufactured in a two-step process in which urea, CO(NH2)2, is the sole starting material, isocyanic acid, HNCO, is an intermediate, and ammonia, NH3, and carbon dioxide, CO2, gases are byproducts.
In the first step of this reaction, urea is broken down into isocyanic acid and ammonia:
In the second step of this reaction, isocyanic acid reacts to form melamine and carbon dioxide:
Balance this reaction and enter the coefficients below.
What mass of melamine, C3N3(NH2)3, will be obtained from 124.0kg of urea, CO(NH2)2, if the yield of the overall reaction is 84.0% ?
Ethyl butyrate, CH3CH2CH2CO2CH2CH3, is an artificial fruit flavor commonly used in the food industry for such flavors as orange and pineapple. Its fragrance and taste are often associated with fresh orange juice, and thus it is most commonly used as orange flavoring.
It can be produced by the reaction of butanoic acid with ethanol in the presence of an acid catalyst (H+):
Given 7.50g of butanoic acid and excess ethanol, how many grams of ethyl butyrate would be synthesized, assuming a complete 100% yield?
A chemist ran the reaction and obtained 5.25g of ethyl butyrate. What was the percent yield?
The chemist discovers a more efficient catalyst that can produce ethyl butyrate with a 78.0% yield. How many grams would be produced from 7.50g of butanoic acid and excess ethanol?
The concentration of an aqueous solution of NaOCl (sodium hypochlorite; the active ingredient in household bleach) can be determined by a redox titration with iodide ion in acidic solution: OCl−(aq)+2I−(aq)+2H+(aq)→Cl−(aq)+I2(aq)+H2O(l)Assume that the blue spheres in the buret represent I− ions, the red spheres in the flask represent OCl− ions, the concentration of the I−ions in the buret is 0.140M , and the volumes in the buret and the flask are identical.
What is the concentration of NaOCl in the flask?
What percentage of the I− solution in the buret must be added to the flask to react with all the OCl− ions?
A sample weighing 14.98g and containing a small amount of copper was treated to give a solution containing aqueous Cu^2+ ions. Sodium iodide was then added ti yield solid copper (I) iodide plus I3^- ion, and the I3^- was titrated with thiosulfate, S2O3^2-. The titration required 10.49mL of .100M Na2S2O3 for complete reaction. What is the mass percent copper in the sample? The balanced equations are…