<u>Answer:</u> The frequency of the radiation is 33.9 THz
<u>Explanation:</u>
We are given:
Wave number of the radiation, 
Wave number is defined as the number of wavelengths per unit length.
Mathematically,

where,
= wave number = 
= wavelength of the radiation = ?
Putting values in above equation, we get:

Converting this into meters, we use the conversion factor:
1 m = 100 cm
So, 
- The relation between frequency and wavelength is given as:

where,
c = the speed of light = 
= frequency of the radiation = ?
Putting values in above equation, we get:


Converting this into tera Hertz, we use the conversion factor:

So, 
Hence, the frequency of the radiation is 33.9 THz
We are tasked to solve for the volume of the gas that occupies when pressure and temperature changes to 400 Torr and 200 Kelvin from Torr and 400 Kelvin. We can use ideal gas law assuming constant gas composition and close system. The solution is shown below:
P1V1 / T1 = P2V2 / T2
V2 = P1V1T2 / T1P2
V2 = 800*72*200 / 400*400
V2 = 72 ml
The answer for the volume is 72 ml.
Answer:
6.0 x 10 to the power of 23
To compute the percent error, you divide the absolute difference between the actual value and the measured value with the actual value. Then, multiply it with 100 to get the percentage. The solution is as follows:
Percent error = (250 - 243.9)/250 * 100
Percent error = 2.44%