How are changes in energy and matter related
1 answer:
Answer:
According to Einstein's famous equation, matter can convert into energy (and viceversa) as follows:
where
E is the energy
m is the mass
c is the speed of light ()
Given the huge value of , we see that even a tiny amount of matter is able to release a huge amount of energy, when the whole mass is converted into energy. This is precisely what happens in nuclear reactions. For example, in the process of nuclear fusion (that occurs in the core of the stars), two light nuclei fuse together into a heavier nucleus. The mass of the final nucleus is lower than the total mass of the initial nuclei, so part of the mass has been converted into energy according to the equation above: this is why the amount of energy produced by stars is so big.
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Answer:
a) kinetic energy = 130.2j
b) angular velocity when kinetic energy is doubled = 21.2rad/s
Answer:
Final temperature is 295K
Explanation:
Where the sample of copper is placed in the water, the heat transferred from the copper is equal that the heat absorbed by the water.
The heat transferred from the copper is:
C××mass×ΔT
Where C is molar heat capacity of copper (24,5J/molK)
Mass is 25,0g
And ΔT is final temperature - initial temperature (X-363K)
Also, the heat absorbed by the water is:
-C××mass×ΔT
Where C is molar heat capacity of water (75,2J/molK)
Mass is 100,0g
And ΔT is final temperature - initial temperature (X-293K)
As heat transferred is equal to heat absorbed:
24,5J/molK××25,0g×(X-363K) = -75,2J/molK×
×100,0g× (X-293K)
9,64X J/K - 3499J = - 417X J/K + 122273J
426,64X J/K = 125772 J
<em>X = 295K</em>
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Final temperature is 295K
I hope it helps!