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Chemistry LibreTexts

Homework 0: Basics

  • Page ID
    143055
  • Q1: Black Body Radiators

    When buying a light bulb at Home Depot, the colors of the bulb are described in Kelvin as a temperature according to an ideal Black-body Radiator.

    (Photo by Suriya Kankliang. Published on 22 March 2016)

    What is the peak wavelength associated with the spectral distribution correspond to for the following light bulbs with indicated "temperatures:

    1. 1,850 K (Candelight)
    2. 2,400 K (Standard US Bulb)
    3. 2,700 K (Soft White; CFL)
    4. 3,000K (Warm White; CFL)
    5. 5,000 K (Tube fluorescent)
    6. 6,500K (Daylight)

    Q2: Basic Units

    What units are appropriate for each variable?

    1. Energy
    2. Wavelength
    3. Frequency (\(\nu\))
    4. Mass
    5. Energy Density
    6. Momentum
    7. Power
    8. Temperature
    9. Density

    Q3. Basic Math Review Perform these integrals:

    \[ \int ax^{n}dx \]

    \[ \int \dfrac{a}{x}dx \]

    \[ \int \sin(ax)dx \]

    \[ \int \cos(ax)dx \]

    \[ \int e^{ax}dx \]

    Q4: Derivatives

    Perform these derivatives

    \[ \dfrac{du^{n}}{dx} \]

    \[ \dfrac{de^{u}}{dx} \]

    \[ \dfrac{d \ln x}{dx} \]

    \[ \dfrac{d \sin x}{dx} \]

    \[ \dfrac{d \cos x}{dx} \]

    Q5: Expansions and Approximations

    Expand these for all \(x\) (e.g. using a Taylor Expansion):

    \[ e^{x} \]

    \[ \sin{x} \]

    \[ \cos{x} \]