The unit of length convenient on the atomic scale is known as an angstrom and is denoted by `overset@A`: `1 overset@A` = `10^-10 m`. The size of a hydrogen atom is about `0.5 overset@A`. What is the total atomic volume in `m^3` of a mole of hydrogen atoms ?

In the HC1 molecule, the separation between the nuclei of the two atoms is about 1.27 overset@A ( 1 overset@A = 10^-10 m ). Find the approximate location of the CM of the molecule, given that a chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus.

Find the number of hydrogen atoms in 0.1 mole of H_2SO_3 .

The total energy of an electron in the first excited state of the hydrogen atom is about-3.4ev What is the kinetic energy of the electron in this state?

The total energy of an electron in the first excited state of the hydrogen atom is about-3.4ev What is the potential energy of the electron in this state?

The unit of length convenient on the nuclear scale is a fermi : 1 f = 10 ^-15 m . Nuclear sizes obey roughly the following empirical relation :- r=(r_0A)^(1/3) where ris the radius of the nucleus, Aits mass number, and r_o is a constant equal to about, 1.2 f. Show that the rule implies that nuclear mass density is nearly constant for different nuclei. Estimate the mass density of sodium nucleus. Compare it with the average mass density of a sodium atom obtained in Exercise. 2.27.

The radius of the innermost electron orbit of a hydrogen atom is 5.3x 10^ -11m. What are the radii of the n = 2 and n =3 orbits?

Energy of an electron in the ground state of the hydrogen atom is -2.18xx10^(-18)J . Calculate the ionization enthalpy of atomic hydrogen in terms of J mol^(-1) .

The gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10^ -40 . An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.

The radius of atom is of the order of 1overset@A and radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?