Electromagnetic wave is defined as the wave which is associated with both electrical and magnetic component associated with them. They can travel in vacuum as well and travel with the speed of light.

The relationship between wavelength and frequency of the wave follows the equation:

$\nu=\frac{c}{\lambda}$

where,

$\nu$ = frequency of the wave = $5.5\times 10^{15}Hz$

c = speed of light = $3\times 10^8ms^{-1}$

$\lambda$ = wavelength of the wave

Putting in the values we get:

$5.5\times 10^{15}s^{-1}=\frac{3\times 10^8ms^{-1}}{\lambda}$

$\lambda=0.54\times 10^{-7}m$

$1nm=10^{-9}m$

$\lambda=54nm$

Thus wavelength of ultraviolet light is 54 nm.

6 0

3 years ago

A reaction rate increases by a factor of 655 in the presence of a catalyst at 37°C. The activation energy of the original pathwa

irinina [24]

For a reaction rate that increases by a factor of 655 in the presence of a catalyst at 37°C, the activation energy of the new pathway is mathematically given as

Ea2=89.28JKoule/mol

<h3>What is the activation energy of the new pathway, all other factors being equal?</h3>

Generally, the equation for the rate constant is mathematically given as

K=Ae^{Ea1/Rt}

Therefore

$\frac{1}{655}=\frac{1}{8.31*3.10}(Ea2-105000)$

Ea2=89286.083Joule/mol

In conclusion, the activation energy

Ea2=89.28JKoule/mol