Simple Introductory Problem that's giving me troubles

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In summary, the problem involves 1014 electrons being accelerated to 15MeV each and stopped in a copper block of mass 100g. The specific heat of copper is given as 0.09 cal/g K. Assuming all kinetic energy is transferred to heat and negligible mass increase, the calculation yields a temperature rise of 6.3 K, which matches the given solution. The discrepancy in the attempt at a solution was due to a typo in the number of electrons.
  • #1
ChaseRLewis
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Homework Statement



1-3 A burst of 1014 electrons accelerated to an energy of 15MeV per electron is stopped in a copper target block of mass 100g. If the block is thermally insulated, what is its temperature rise? The specific heat of copper is 0.09 cal/g K

Homework Equations



m*Cp*dT = dQ

The Attempt at a Solution



Assume 100% of KE transfer to heat.
Negligible mass increase.

(100g)*(.09 cal/g K) dT = 1014 electrons * 15 MeV/electron * 2.6144*10^(-13) cal/MeV

The solution is supposed to be 6.3 K but what I have above isn't even remotely close (way too small). I'm trying to guide myself through a special relativity book and given this is was the only problem in the beginning I couldn't get to matchup I feel a bit awkward posting it because it seems so simple : /.
 
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  • #2
Probably a typo? If you take the number of electrons as 1014 and divide by 2.6.. instead of multiplying (you did a calculation mistake, it seems), the answer comes out to be ~6.3 K.
 
  • #3
Sourabh N said:
Probably a typo? If you take the number of electrons as 1014 and divide by 2.6.. instead of multiplying (you did a calculation mistake, it seems), the answer comes out to be ~6.3 K.

Ah thanks it was the 10^14 rather than 1014 : / got to get used to these ebook prints.
 

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1. What is the problem statement?

The Simple Introductory Problem is a basic problem that serves as an introduction to a particular subject or concept. It usually involves a straightforward question or scenario that requires a solution or explanation.

2. Why is this problem giving me troubles?

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3. How should I approach this problem?

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