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Water can absorb infrared radiation at a wavelength of 1.0610^4 m. If a 180 g …

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Wize University Chemistry Textbook > Early Atomic Theory to Quantum Theory

Wave-Particle Duality & the de Broglie Equation

4 Activities

Wize University Chemistry Textbook > Thermodynamics: Part 1: (0th law, 1st law, Calorimetry, Enthalpy)

Calorimetry

7 Activities

Water can absorb infrared radiation at a wavelength of1.06×104 m{\small 1.06\times10^4 \text{ m}}. If a 180 g sample of water is irradiated at this wavelength, calculate the number of photons required to raise the temperature by 25.0°C(CH2O=4.184Jg°C){\small \degree \text{C} \left(C_{H_2O} =4.184\frac{J}{g\degree C} \right)}
More Wave-Particle Duality & the de Broglie Equation Questions:
Light Energy
The energy content of a particular form of light is 1.572 J per mole of photons. What is the wavelength of this light? (Choose the closest answer.)
Electromagnetic radiation: Wave energy
A laser emits light at a wavelength of 710 nm.
What is the frequency of this light?
What is the de Broglie wavelength of a 20 kg dog? (Note: 1 J  = 1 kg m2s21\ J\ \ =\ 1\ kg\ \frac{m^2}{s^2})
If a photon was able to remove an electron from a metal plate that had a binding energy of 2 x 10-20 J, what was the frequency of the wave?
If the answer has an exponent write it like this 1.23x10^4 (no spaces)
Light and EM Multipart Question
You have a laser that emits light at a wavelength of 710 nm.
Electromagnetic radiation: Wave energy
A laser emits light at a wavelength of 710 nm.
What is the frequency of this light?
Work Function
The work function of metallic cesium is 3.36×10−19 J. What is the threshold wavelength of light required to emit electrons from the surface of metallic cesium?
Light Energy
The energy content of a particular form of light is 1.572 J per mole of photons. What is the wavelength of this light? (Choose the closest answer.)
H atom
A hydrogen atom, initially in its lowest energy level, absorbs a photon with a wavelength of 93.1 nm. What is the final energy level?
H-like system
Which of the following electron transitions for the hydrogen atom is associated with the longest photon wavelength?
de Broglie wavelength
Which of the following objects has the longest de Broglie wavelength? Assume they are all moving at the same speed.
Wave particle duality
The wavelike character of ordinary objects like a thrown baseball cannot be detected because:
Energy of Light
A domestic microwave generates radiation of wave length 9.3 cm (very low energy).
a. What are the energy values per photon and per mole of of photons?
b. Calculate the frequency of this radiation
Electromagnetic radiation: Wave Energy
Calculate the energy of one photon whose wavelength is 589 nm.
How heavy is a particle whose de Broglie wavelength is 1.87 x 10-16 m?
Practice Problem 1: de Broglie Equation
What is the energy associated with the de Broglie wavelength of a 1000 kg car? ((1 J = 1kgm2s2)\left(1\ J\ =\ 1kg\frac{m^2}{s^2}\right)
An emission spectrum for a one-electron species is shown below. All the lines correspond to transitions ending at the energy level n = 3. Line B has a wavelength of 165 nm. Identify the species that produced this spectrum.
Identify the species in the spectrum above
If a photon was able to remove an electron from a metal plate that had a binding energy of 2 x 10-20 J, what was the frequency of the wave?
Wave Particle Duality: de Broglie's Postulate
Calculate the de Broglie wavelength for the following objects. For each one decide whether they are best treated as classical or quantum mechanical particles
A proton moving at 1% of the speed of light
How heavy is a particle whose de Broglie wavelength is 1.87 x 10-16 m?
What is the de Broglie wavelength of a 20 kg dog? (Note: 1 J  = 1 kg m2s21\ J\ \ =\ 1\ kg\ \frac{m^2}{s^2})
Wave Particle Duality and the Heisenberg Uncertainty Principle
A beam of electrons is accelerated towards a thin metal foil and diffracts to give the exact same pattern as a blue laser with wavelength of 480nm. (me = 9.11 x 10-31 kg)
a) What speed were the electrons accelerated to?'
b) If we measure the speed to a precision of ± 1% what is the minimum uncertainty in the position of the electron?
A proton (mp = 1.6726 x 10-27 kg) was found to have a de Broglie wavelength of 522 nm. How fast was the particle moving?
Quantum Model: de Broglie's Equation
What is the energy associated with the de Broglie wavelength of a 1000 kg car? ((1 J = 1 kgm2s2)\left(1\ J\ =\ 1\ kg\frac{m^2}{s^2}\right)
Wave-Particle Duality: Wave Energy
Scientists in the lab were preparing a new chemical reaction. Upon mixing the chemicals, the reaction began to emit a great deal of light. The scientists were able to determine that each photon of light was releasing 8.32 x 10-19 J of energy. What is the wavelength of this light? What is the frequency?
Wave Particle Duality: de Broglie's Postulate
The electrons used in electron microscopy have a velocity of 70% of the speed of light. What is their wavelength in nm?
The reason that we can't measure the position and velocity of a particle to infinite precision is?
What wavelength of light corresponds to a transition from a 6p orbital to a 1s orbital in hydrogen?
Report your answer to three significant figures in nm. Please do not include units in the answer field.
The experiment that showed electrons can behave like waves is the:
de Broglie's postulate: Wavelength of Lance Armstrong
During the tour de France in 2010, Lance Armstrong reached a speed of 57.8km/h descending one of the mountains. If we treat Lance and his bike as a single particle with a weight of 100kg what is the wavelength of Lance Armstrong?
Young's Double-Slit Experiment
If you shoot a beam of electrons at a piece of metal with two small slits in it, a diffraction pattern appears on the detector on the otherside. This is often refereed to as a two slit experiment. This result shows that,
What is the wavelength of an electron traveling at 5% the speed of light?
More Calorimetry Questions:
Calorimetry: Heat of combustion
When 2g of rocket fuel, N2H4 is burned inside of a bomb-calorimeter, the temperature of the water rises from 22oC to 29oC. If there is 0.9kg of water and the heat capacity for the bomb is 822J/oC, what is the heat of the combustion for one mole of N2H4 in the bomb calorimeter?
Calorimetry: Heat of combustion
When 2g of rocket fuel, N2H4 is burned inside of a bomb-calorimeter, the temperature of the water rises from 22oC to 29oC. If there is 0.9kg of water and the heat capacity for the bomb is 822J/oC, what is the heat of the combustion for one mole of N2H4 in the bomb calorimeter?
Heat Capacity (bomb calorimeter)
1 gram of fried chicken is placed in a bomb calorimeter, which has a heat capacity of 10 kJ/oC. Upon combustion of the fried chicken, the temperature of the calorimeter rises by 5oC. Approximately how many nutritional calories are in 1 gram of this fried chicken if 1 nutritional calorie = 1000 calories and 1 calorie = 4.184 J ? Enter answer with 2 significant digits
Calorimetry
Equal masses of copper and iron are both heated to a temperature of 100°C. Each piece of hot metal is then placed into its own beaker containing 1 L of water. If both beakers start with the same initial temperature, which beaker of water will have the higher final temperature?
Additional information: Cu (specific heat = 0.377 J/g°C); Fe (specific heat = 0.450 J/g°C)
Calorimetry
The temperature of a 12.58 g sample of calcium carbonate (CaCO3 (s)) increases from 23.6oC to 38.2oC. If the specific heat of calcium carbonate is 0.82 J/g K, how many joules of heat are absorbed?
Calorimetry: Heat requirement
How much heat is required to convert a 15.5 g ice cube at -5.00oC to liquid water at 0oC? (The specific heat of ice is 2.09 J/g K, the specific heat of water is 4.18 J/g K, and the ΔHfus for water=334 J/g).
Calorimetry: Specific Heat Capacity
Addition of 3.10 kJ of heat is required to raise the temperature of 150 g of a liquid hydrocarbon from 23.0oC to 44.0oC. What is the specific heat capacity of this hydrocarbon?
A bomb calorimeter assembly has a heat capacity of 650 J/°C. Inside the bomb calorimeter 2.5g of a fuel compound is burned in excess oxygen and the temperature of the bomb calorimeter increases by 48 °C. What is the value for qrxn amount of heat released per gram of compound burned?
Please report your answer to three significant figures in kJ/g. Do NOT include units in the answer field
Calorimetry: Heat of combustion
When 2g of rocket fuel, N2H4 is burned inside of a bomb-calorimeter, the temperature of the water rises from 22oC to 29oC. If there is 0.9kg of water and the heat capacity for the bomb is 822J/oC, what is the heat of the combustion for one mole of N2H4 in the bomb calorimeter?
Enthalpy: Heat of reaction
2H2(g) + O2(g) --> 2H2O(l) ΔH=-572kJ/mol
1. How much heat is produced when 72g of water gas is produced?
2. Is the reaction endothermic or exothermic?
When 1.00 kg of lead (specific heat = 0.13 J / g °C) at 125 °C is added to a quantity of water at 18.0 °C, the final temperature of the lead-water mixture is 32.0 °C. What is the volume of water present? Note: the density of H2O(l) is 1.00 g/mL and the specific heat capacity is 4.18 J / g oC.
Calorimetry: Specific Heat
A piece of metal weighing 58g was heated to 100oC and then added to 100mL of water. The water's temperature was initially 22oC and after the metal was added the temperature was 26oC. What is the specific heat of the metal?