Concept explainers
(a)
Interpretation:
The mass loss corresponds to
Concept Introduction:
Einstein’s mass-energy equivalence equation clearly depicts the relation between mass and energy. The mass-energy equivalence equation is as follows,
Here,
Unit of mass and speed should be taken in SI unit in order to convert energy in terms of joule.
From the equation it is clear that, anything that has mass will also have energy.
(a)
Explanation of Solution
According to Einstein’s equation, the mass change corresponds to the release of
Rearranging the equation in terms of mass change is given below.
Given,
Substituting these values in the above equation gives mass loss as follows,
Therefore, the mass loss corresponds to the release of
(b)
Interpretation:
For the energy
Concept Introduction:
During the combustion of methane, methane reacts with oxygen to produce carbon dioxide and water with the release of energy.
The balance chemical equation for the combustion of methane is as follows,
For
(b)
Explanation of Solution
For the release of
The mass loss for the releases of
Therefore, the ratio of mass of methane burned by producing
That is, the ratio is
(c)
Interpretation:
The applicability of Einstein’s equation for nuclear reaction than the
.
Concept Introduction:
Einstein’s mass-energy equivalence equation clearly depicts the relation between mass and energy. The mass-energy equivalence equation is as follows,
Here,
Unit of mass and speed should be taken in SI unit in order to convert energy in terms of joule.
From the equation it is clear that, anything that has mass will also have energy.
(c)
Explanation of Solution
In a chemical reaction, the amount of energy released for each gram of reactant is very much smaller than the energy released in a nuclear reaction for each gram of reactant.
So, in a chemical reaction only very less amount of mass is converted into energy whereas in nuclear reaction the mass converted will be high corresponds to the higher energy produced. Therefore the Einstein’s equation is more applicable to nuclear reaction.
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