Complete Question
In lightning storms, the potential difference between the Earth and the bottom of the thunderclouds can be as high as 350 MV (35,000,000 V). The bottoms of the thunderclouds are typically 1500 m above the earth, and can have an area of 120 km^2. Modeling the earth/cloud system as a huge capacitor, calculate
a. the capacitance of the earth-cloud system
b. the charge stored in the "capacitor"
c. the energy stored in the capacitor
Answer:
a
![C = 7.08 *10^{-7} \ F](https://tex.z-dn.net/?f=C%20%3D%20%207.08%20%2A10%5E%7B-7%7D%20%5C%20%20F)
b
![Q = 24.78 \ C](https://tex.z-dn.net/?f=Q%20%3D%20%2024.78%20%5C%20%20C)
c
![E =433650000 \ J](https://tex.z-dn.net/?f=E%20%3D433650000%20%5C%20J)
Explanation:
From the question we are told that
The potential difference is ![V = 35000000 V](https://tex.z-dn.net/?f=V%20%20%3D%20%2035000000%20V)
The distance of the bottom of the thunderstorm from the earth is d = 1500 m
The area is ![A = 120 \ km^2 = 120 *10^{6} \ m^2](https://tex.z-dn.net/?f=A%20%3D%20%20120%20%5C%20%20km%5E2%20%3D%20%20120%20%2A10%5E%7B6%7D%20%5C%20%20m%5E2)
Generally the capacitance of the earth cloud system is mathematically represented as
![C = \epsilon_o * \frac{A}{d}](https://tex.z-dn.net/?f=C%20%3D%20%20%5Cepsilon_o%20%2A%20%20%5Cfrac%7BA%7D%7Bd%7D)
Here
is the permitivity of free space with as value ![\epsilon_o = 8.85 *10^{-12} \ C/(V\cdot m)](https://tex.z-dn.net/?f=%5Cepsilon_o%20%3D%20%208.85%20%2A10%5E%7B-12%7D%20%5C%20%20C%2F%28V%5Ccdot%20m%29)
So
![C = 8.85*10^{-12} * \frac{120*10^{6}}{1500}](https://tex.z-dn.net/?f=C%20%3D%20%208.85%2A10%5E%7B-12%7D%20%2A%20%20%5Cfrac%7B120%2A10%5E%7B6%7D%7D%7B1500%7D)
=> ![C = 7.08 *10^{-7} \ F](https://tex.z-dn.net/?f=C%20%3D%20%207.08%20%2A10%5E%7B-7%7D%20%5C%20%20F)
Generally the charge stored in the capacitor (earth-cloud system) is mathematically represented as
![Q = C * V](https://tex.z-dn.net/?f=Q%20%3D%20%20C%20%20%2A%20%20V)
=> ![Q = 7.08 *10^{-7} * 35000000](https://tex.z-dn.net/?f=Q%20%3D%20%207.08%20%2A10%5E%7B-7%7D%20%20%2A%20%20%2035000000)
=> ![Q = 24.78 \ C](https://tex.z-dn.net/?f=Q%20%3D%20%2024.78%20%5C%20%20C)
Generally the energy stored in the capacitor is mathematically represented as
![E = \frac{1}{2} * Q * V](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20%2A%20Q%20%2A%20%20V)
=> ![E = \frac{1}{2} * 24.78 * 35000000](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20%2A%20%20%2024.78%20%2A%20%2035000000)
=> ![E =433650000 \ J](https://tex.z-dn.net/?f=E%20%3D433650000%20%5C%20J)
The ratio of concentration of ionized acid to the initial concentration of acid multiplied by 100 will give the percent ionization of a weak acid in water increases as the concentration of acid decreases.
Explanation:
Percent ionization is used for quantifying the number of ions present in the weak acid when dissolved in a solution. So it is similar to the pKa value. The percent ionization value can be determined as negative log of dissociation constant. Also the as the number of ions increases in weak acid, the concentration of acid will be decreasing . It can be calculated using the formula for percent ionization as follows:
![Percent ionization = \frac{Ionized acid concentration}{Initial concentration of acid} * 100](https://tex.z-dn.net/?f=Percent%20ionization%20%3D%20%5Cfrac%7BIonized%20acid%20concentration%7D%7BInitial%20concentration%20of%20acid%7D%20%2A%20100)
As the water volume or concentration increases, the acid will get diluted much more thus leading to decrease in the concentration of acid.
So the ratio of concentration of ionized acid to the initial concentration of acid multiplied by 100 will give the percent ionization of a weak acid in water increases as the concentration of acid decreases.
Mold
Explanation:
A mold is a cavity that is left behind in the rock after an organism hard part has been dissolved. These are important fossils that useful in relative dating.
- Some hard parts of organism are preserved in form of molds in soft sediments.
- The outline and important details of the hard part is preserved when the mold dissolves away.
- Fossil molds are representative on the internal outline of the hard parts of organisms.
- They are usually recognized as a part of body fossil in a section.
learn more:
Fossils brainly.com/question/7382392
#learnwithBrainly
<span>Now that you know the time to reach its maximum height, you have enough information to find out the initial velocity of the second arrow. Here's what you know about it: its final velocity is 0 m/s (at the maximum height), its time to reach that is 2.8 seconds, but wait! it was fired 1.05 seconds later, so take off 1.05 seconds so that its time is 1.75 seconds, and of course gravity is still the same at -9.8 m/s^2. Plug those numbers into the kinematic equation (Vf=Vi+a*t, remember?) for 0=Vi+-9.8*1.75 and solve for Vi to get.......
17.15 m/s</span>
The pressure at the depth 11 km below sea level can be
calculated using
P=ρgh
P is pressure, ρ is the density of the fluid; g is the
gravitational constant, h is the height from the surface, or depth that the
object is submerged.
P = ( 1000 kg/ m3) ( 9.81 m.s2)( 11 000m) + 1 atm
P = 107,910,000 pa ( 1 atm/ 101 325 Pa) + 1 atm = 1066 atm