What is the minimum uncertainty in the position of a small particle if it has velocity of 40.0km/s with a 2000. nm/s uncertainty of that velocity, and an accurate mass of 1 ug? What is the wavelength of the small particle?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Review Packet - Midterm 1**

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**Section 3: The Hard/Multi-concept Questions**

1. **Photon Mole Calculation:**
   - How many moles of photons are in a pulse if the pulse has a wavelength of 600 nm and a total energy of 400 J?

2. **Uncertainty in Position and Wavelength of a Particle:**
   - What is the minimum uncertainty in the position of a small particle if it has a velocity of 40.0 km/s with a 2000. m/s uncertainty of that velocity, and an accurate mass of 1 µg? What is the wavelength of the small particle? 

3. **Energy Calculation:**
   - Calculate the energy of a:
     - Photon (m = 0 kg, λ = 6.000 × 10^-7 m, c = 2.998 × 10^8 m/s),
     - Neutron (m = 1.674 × 10^-27 kg, v = 2200 m/s, λ = 1.799 × 10^-10 m),
     - 2.000 moles of neutrons (traveling at the same speed as the single neutron).

4. **Blackbody Radiation and Temperature:**
   - A bar of hot metal is emitting blackbody radiation. The peak wavelength of this radiation is orange. If the photons at this wavelength have an energy of 3.30 × 10^-10 nJ each, what is the temperature of the metal? 

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No graphs or diagrams are included in this section.
Transcribed Image Text:**Review Packet - Midterm 1** --- **Section 3: The Hard/Multi-concept Questions** 1. **Photon Mole Calculation:** - How many moles of photons are in a pulse if the pulse has a wavelength of 600 nm and a total energy of 400 J? 2. **Uncertainty in Position and Wavelength of a Particle:** - What is the minimum uncertainty in the position of a small particle if it has a velocity of 40.0 km/s with a 2000. m/s uncertainty of that velocity, and an accurate mass of 1 µg? What is the wavelength of the small particle? 3. **Energy Calculation:** - Calculate the energy of a: - Photon (m = 0 kg, λ = 6.000 × 10^-7 m, c = 2.998 × 10^8 m/s), - Neutron (m = 1.674 × 10^-27 kg, v = 2200 m/s, λ = 1.799 × 10^-10 m), - 2.000 moles of neutrons (traveling at the same speed as the single neutron). 4. **Blackbody Radiation and Temperature:** - A bar of hot metal is emitting blackbody radiation. The peak wavelength of this radiation is orange. If the photons at this wavelength have an energy of 3.30 × 10^-10 nJ each, what is the temperature of the metal? --- No graphs or diagrams are included in this section.
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