# of protons found in the nucleus of an atom of that element,and, therefore identical to the charged nucleus.
Answer:
1. K.E = 11.2239 kJ ≈ 11.224 kJ
2.
3.
Solution:
Now, the kinetic energy of an ideal gas per mole is given by:
K.E =
where
m = no. of moles = 3
R = Rydberg's constant = 8.314 J/mol.K
Temperature, T = 300 K
Therefore,
K.E =
K.E = 11223.9 J = 11.2239 kJ ≈ 11.224 kJ
Now,
The heat capacity at constant volume is:
Now,
Required heat transfer to raise the temperature by is:
a) 6.25 rad/s
The law of conservation of angular momentum states that the angular momentum must be conserved.
The angular momentum is given by:
where
I is the moment of inertia
is the angular speed
Since the angular momentum must be conserved, we can write
where we have
is the initial moment of inertia
is the initial angular speed
is the final moment of inertia
is the final angular speed
Solving for , we find
b) 28.1 J and 35.2 J
The rotational kinetic energy is given by
where
I is the moment of inertia
is the angular speed
Applying the formula, we have:
- Initial kinetic energy:
- Final kinetic energy:
The shape of the earth's orbit is nearly the shape of spherical