4. Calculate the wavelength (in nm) of light with a frequency of 6.05 x 104 Hz.

4.955x10¹²nm

Explanation:

It is possible to obtain wavelength from the frequency of a wave using the expression:

ν = C / λ

Where wavelength, ν, is given in m

Speed of light, C, is 2.998x10⁸m/s

And frequency, λ, is given in Hz = s⁻¹ = 6.05x10⁴s⁻¹

ν = C / λ

ν = 2.998x10⁸m/s / 6.05x10⁴s⁻¹

ν = 4955m

In nm:

4955m * (1x10⁹nm / 1m) =

4.955x10¹²nm

Basis of the calculation: 100g
 
For Carbon: 
 Mass of carbon = (100 g)(0.80) = 80 g
  Number of moles of carbon = (80 g)(1 mole / 12g) = 20/3

For Hydrogen:
  Mass of hydrogen = (100 g)(0.20) = 20 g
     Number of moles of hydrogen = (20 g)(1 mole / 1 g) = 20

Translating the answer to the formula of the substance,
     C20/3H20

Dividing the answer,
    CH3

The molar mass of the empirical formula is:
    12 + 3 = 15 g/mol

Since, the molar mass given for the molecular formula is 30.069 g/mol, the molecular equation is,
    C2H6

ANSWER: C2H6