Atomic mass = number of protons + number of neutrons = 4+5 = 9 amu
According to the <u>Third Kepler’s Law of Planetary motion</u> “<em>The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”.</em>
In other words, this law states a relation between the orbital period
of a body (moon, planet, satellite) orbiting a greater body in space with the size
of its orbit.
This Law is originally expressed as follows:
<h2>
![T^{2} =\frac{4\pi^{2}}{GM}a^{3}](https://tex.z-dn.net/?f=T%5E%7B2%7D%20%3D%5Cfrac%7B4%5Cpi%5E%7B2%7D%7D%7BGM%7Da%5E%7B3%7D)
(1)
</h2>
Where;
is the Gravitational Constant and its value is ![6.674(10^{-11})\frac{m^{3}}{kgs^{2}}](https://tex.z-dn.net/?f=6.674%2810%5E%7B-11%7D%29%5Cfrac%7Bm%5E%7B3%7D%7D%7Bkgs%5E%7B2%7D%7D)
is the mass of Jupiter
is the semimajor axis of the orbit Io describes around Jupiter (assuming it is a circular orbit, the semimajor axis is equal to the radius of the orbit)
If we want to find the period, we have to express equation (1) as written below and substitute all the values:
<h2>
![T=\sqrt{\frac{4\pi^{2}}{GM}a^{3}}](https://tex.z-dn.net/?f=T%3D%5Csqrt%7B%5Cfrac%7B4%5Cpi%5E%7B2%7D%7D%7BGM%7Da%5E%7B3%7D%7D)
(2)
</h2>
Then:
<h2>
![T=152938.0934s](https://tex.z-dn.net/?f=T%3D152938.0934s)
(3)
</h2>
Which is the same as:
<h2>
![T=42.482h](https://tex.z-dn.net/?f=T%3D42.482h)
</h2>
Therefore, the answer is:
The orbital period of Io is 42.482 h
Answer:
17. NADH has a molar extinction coefficient of 6200 M2 cm at 340 nm. Calculate the molar concentration of NADH required to obtain an absorbance of 0.1 at 340 nm in a 1-cm path length cuvette. 18. A sample with a path length of 1 cm absorbs 99.0% of the incident light at a wavelength of 274 nm, measured with respect to an appropriate solvent blank. Tyrosine is known to be the only chromophore present in the sample that has significant absorption at 274 nm. Calculate the molar concentration of tyrosine in the sample.
Explanation:
Answer:
(C) apparently written incorrectly - it should be 29.9 +- .3 K
(read 29.9 plus or minus .3 K)