Answer:
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
Cell theory is one of the most basic principles of biology in which living organisms are made up of cells
Answer:
Percent mass of KNO3 in solution = 11% (Approx)
Explanation:
Given:
Mass of KNO3 = 25 grams
Mass of H2O = 200 grams
Find:
Percent mass of KNO3 in solution
Computation:
Mass of solution = 25 + 200 = 225 grams
Percent mass of KNO3 in solution = [25/225]100
Percent mass of KNO3 in solution = 11.111%
Percent mass of KNO3 in solution = 11% (Approx)
Answer:
506kg
Explanation:
From the reaction equation, we can see that 3 moles of hydrogen yielded 2 moles of ammonia.
Now we need to calculate the number of moles of hydrogen reacted. This mathematically equals the mass of hydrogen reacted divided by the molecular mass of the hydrogen molecule.
The mass of hydrogen reacted is 89.5kg. This equals 89.5 × 1000g which equals 89500g. The molecular mass of hydrogen is 2g/mole ( 1 atom of hydrogen has an atomic mass unit of 1 and 1 molecule of hydrogen has 2 atoms).
Now we mathematically calculate the number of moles of hydrogen reacted to be 89500/2 which equals 44,750 moles.
If 3 moles of hydrogen yielded 2 moles of ammonia gas, then 44, 750 moles will yield 44,750 × (2/3) which equals 29,833 moles of Ammonia gas.
Now, let's calculate the mass of Ammonia gas yielded. This mathematically equals the number of moles of ammonia gas yielded multiplied by the molar mass of ammonia gas. The molar mass of ammonia gas is (14 + 3(1)) which equals 17g/mole.
Hence, the mass yielded equals 29,833 × 17 = 506167g
This equals 506,167 ÷ 1000 = 506.167kg.