<u>Answer:</u> The empirical formula of the compound is 
<u>Explanation:</u>
The empirical formula is the chemical formula of the simplest ratio of the number of atoms of each element present in a compound.
The number of moles is defined as the ratio of the mass of a substance to its molar mass. The equation used is:
......(1)
Let the mass of the compound be 100 g
Given values:
% of K = 24.7%
% of Mn = 34.76%
% of O = 40.50%
Mass of K = 24.7 g
Mass of Mn = 34.76 g
Mass of O = 40.50 g
To calculate the empirical formula of a compound, few steps need to be followed:
- <u>Step 1:</u> Calculating the number of moles of each element
We know:
Molar mass of K = 39.10 g/mol
Molar mass of Mn = 54.94 g/mol
Molar mass of O = 16 g/mol
Putting values in equation 1, we get:



- <u>Step 2:</u> Calculating the mole fraction of each element by dividing the calculated moles by the least calculated number of moles that is 0.632 moles



- <u>Step 3:</u> Writing the mole fraction as the subscripts of each of the element
The empirical formula of the compound becomes 
Hence, the empirical formula of the compound is 
Atomic mass Boron ( B ) = 10.811 u.m.a
10.811 g -------------- 6.02x10²³ atoms
5.40 g ----------------- ?? atoms
5.40 x ( 6.02x10²³) / 10.811 =
3.0069x10²³ atoms
C. Beryllium. Which has 112 pm
We are given with
V = <span>2.394 x 102 mL
P = </span><span>7.20 x 102 mm of Hg
T = </span><span>78 oC
We are asked to determine the mass of the sample in milligrams
Using the ideal gas law
n = PV / RT
n = </span>7.20 x 102 mm of Hg (2.394 x 102 mL) / R (78 + 273)
Use the appropriate value for R or just convert the values to SI and use R = 8.314
Then, solve for the mass of the sample by using the MW Oxygen which is 16 g/mol
I attached the working and the answer to the question below.
Please note that in the formula, C = speed of light, ν = frequency, λ= wavelength
<span>
The wavelength of a 2.80 Hz wave is
1.07 </span>
× 10¹⁰
cm.