the unit of length convenient on thee atoomic scale 8s about 0.5 Angstrom and is denoted by A°: 1A° = 10^-10 m . the size of a hydrogen atom is about 0.5 angstrom . what is the total atomic volume in m^3 of a mole of hydrogen atoms
Answers
3.16 x 10^-7 m^3
Given:
Radius of the hydrogen atom = 0.5 A
1 A = 10^-10 m
Now finding the radius of hydrogen atom:
= 0.5 x 10^-10 m
To Find:
Total atomic volume in m^3 of a mole of hydrogen atoms
Calculating:
Formula that is used to calculate the volume of hydrogen atom:
= 4/3πr^3
Substituting all the values known to us in this formula we get:
= 4/3 x 22/7 x (0.5 x 10^-10)^3
= 4/3 x 22/7 x 0.5 x 10^-30
(According to the law of exponents (a^n)^m will give a^n x m. We have followed this rule here to obtain this value)
= 88/21 x 0.5 x 10^-30
= 44/21 x 10^-30
= 0.524 x 10^-30 m^3
No of hydrogen atoms 1 mole of hydrogen contains = 6.023 x 10^23
Formula used to calculate the volume of hydrogen atoms:
= No of hydrogen atoms in 1 mole x Volume of hydrogen atom
Calculating volume of hydrogen atoms by substituting the values known to us in this formula we get:
= 6.023 × 10^23 × 0.524 × 10^–30
= 3.16 x 10^-30 + 23
(According to the law of exponents if the base is same then the power gets added. We follow this rule here in this question)
= 3.16 x 10^-7 m^3
Therefore, the atomic volume in one mole of hydrogen atom is
3.16 x 10^-7 m^3.
Explanation:
The principle of reversibility presupposes that the attenuation of a light ray during its passage through an optical medium because of reflection, refraction, and absorption is not affected by a reversal of the direction of the ray.