The yellow light given off by a sodium vapor lamp has a wavelength of 589nm. What is the frequency of this radiation? Please show all work.

5.09 x 10⁶ s⁻¹ = 5.09 x 10⁶ Hz

Explanation:

The relation between frequency (ν) and wavelength (λ) is given by:

λ = c/ν

where c is the speed of light (2.998 m/s) and it is a constant.

So, we first convert the wavelength from nanometers (nm) to meters (m) (1 nm = 1 x 10⁻⁹):

λ= 589 nm x (10⁻⁹ nm/1 m) = 5.89 x 10⁻⁷ m

Then, we calculate the frequency from the equation:

λ = c/ν ⇒ ν = c/λ = (2.998 m/s)/(5.89 x 10⁻⁷ m) = 5.09 x 10⁶s⁻¹ = 5.09 x 10⁶ Hz

answer: at room temperature (roughly 20 degrees c), you can dissolve 203.9 grams (or 200 grams) of sugar in 100 ml of water. as water temperature increases, the amount of sugar that will dissolve increases, up to about 500 grams of sugar in 100 ml water at 100 degrees c.

explanation: