Respuesta :
Answer:
The given atom is of Ca.
Explanation:
Given data:
Speed of atom = 1% of speed of light
De-broglie wavelength = 3.31×10⁻³ pm (3.31×10⁻³ / 10¹² = 3.31×10⁻¹⁵ m)
What is element = ?
Solution:
Formula:
m = h/λv
m = mass of particle
h = planks constant
v = speed of particle
λ = wavelength
Now we will put the values in formula.
m = h/λv
m = 6.63×10⁻³⁴kg. m².s⁻¹/3.31×10⁻¹⁵ m ×( 1/100)×3×10⁸ m/s
m = 6.63×10⁻³⁴kg. m².s⁻¹/ 0.099×10⁻⁷m²/s
m = 66.97×10⁻²⁷ Kg/atom
or
6.69×10⁻²⁶ Kg/atom
Now here we will use the Avogadro number.
The given problem will solve by using Avogadro number.
It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.
The number 6.022 × 10²³ is called Avogadro number.
For example,
18 g of water = 1 mole = 6.022 × 10²³ molecules of water
Now in given problem,
6.69×10⁻²⁶ Kg/atom × 6.022 × 10²³ atoms/ mol × 1000 g/ 1kg
40.3×10⁻³×10³g/mol
40.3 g/mol
So the given atom is of Ca.
The movement of sounds, in the same manner, is called wavelength.
The correct element is Ca.
The data in the question is as follows:-
- Speed of atom is 1% of the speed of light
- De-Broglie wavelength = [tex]3.31*10^{-3}\\\\\frac{(3.31*10^{-3}}{10^{12}}\\ = 3.31*10^{-15} m[/tex]
The formula we will used is [tex]m = \frac{h}{λv}[/tex]
The data is given is as follows:-
- m = mass of the particle
- h = planks constant
- v = speed of particle
- λ = wavelength
Now we will put the values in the formula and solve the equation.
[tex]m = \frac{6.63*10^{-34}}{3.31*10^{-15} ( \frac{1}{100})*3*10^8}[/tex]
After solving the value of m is[tex]66.97*10^{-27}[/tex]
Now in the given problem, the solution is as follows:-
[tex]6.69*10^{-26}* 6.022 * 10^{23} * 1000[/tex]
After solving the equation the answer is 40.3
Hence, the 40.3 is the mass of calcium.
For more information, refer to the link:-
https://brainly.com/question/22810476
