what relationship is given by mass and energy by Einstein
Answers
Answer:
Based on Einstein's equation E = mc^2, the amount of energy added is relative to the mass gained by the proton multiplied by the speed of light squared. In other words, a lot of energy is converted into a relatively small amount of mass.
Question
what relationship is given by mass and energy by Einstein
Answer
Let's talk about mass energy equivalence.
- First of all we should know what exactly is it. This is a consequence of Einstein's theory of special relativity. Now we will talk a little bit about what exactly it means.
Einstein's mass - energy equivalence
- Mass - energy equivalence's exactly meaning is that the mass is concentrated energy
In other words , if you have mass, it means you have lots of energy also.
- Remembering the above short information now question is that ,
How much energy..?
- Don't worry the solution for this question is ,
It can be given by Einstein's famous relation
i.e. E = MC²
Here ,
- M = mass ( can put in kilograms )
- C = speed of the light in vacuum ( approximately equal to 3 x 10^8 m / s. and 300 millions in SI units ). and am gonna square of this value of speed as in Einstein's given relationship.
- E = Energy
and that's the Relationship asked in question. E = MC²
For more information keep seeing below.
We saying that mass is concentrated energy.
- But now if we take an example of a 20 gram marble , it contains the same amount of energy as is released in the explosion of a 500,000 ton of hydrogen bomb.
So , we we aren't afraid of a marble , just a marble.
- Well if i say u truth , the full energy is really really really difficult to release in the case of marble .
So , a marble couldn't release all that energy from it.
I Also have a solution for it
- The only way to release all of that mass energy can be done through matter-antimatter annihilation.
So , all the energy is released form both of the matter and antimatter.
Matter and antimatter both have mass but there is absence of a lot of antimatter around. So we do have anti-electrons to produce energy.
So new question is that , how much energy is released?
- Well ,it can be easily Calculated by the equation
- E = MC²
- The mass of an electron = 9.11 x 10^-31 kg.
- But , the energy that's released is = 2 MC² because we involves the electron for this energy.
Calculating further will result in 1.64 x 10^-13 joules.
- Alright. So what does this actually mean? We are not going to do this matter antimatter further because there is no antimatter around.
We need to understand that almost every single part of energy that released is in terms of this energy mass equivalence.
Now , for the chemical energy.
i am gonna to take the example of a water molecule formed by bonding between two hydrogen atoms and an oxygen atom.
These involved bonds cost energy.
- But how much energy?
Calculation gives us = 918 kj / mol.
it means that there is about 1.5 x 10 ^-18 joules of bond energy per molecule.
- Now we can say that the mass of a water molecule is slightly less than the mass of hydrogen x 2 and the mass of oxygen ( from the above Calculation ).
So we can say that the difference is associated with the bond or bond energy.
Or in other words , we are not taking the full mass as required in the relation E = MC² because we are not destroying the molecule or atoms but involves the mass of bond energy.
Now , we will not talk in Chemistry's way .
- So finally concluded that Einstein's energy mass relationship is too simple and easy to understand and apply.
- The only thing that we require is to do multiply by the speed of light squared.
- That's all.