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Show that the change of entropy delta S in a metal block of mass m and specific heat capacity C subjected to a change in temperature from T1 to T2 is delta S =mCloge(T2 /T1 ).
Very stuck, I've looked up books and the internet and tried to work backwards but have no idea why there's a loge (the e is a small e). The closest idea I got was the ideal thermodynamic efficiency n = 1-T2/T1 which kind of looks like the (T2/T1) in the equation of the question. How do I even start this?
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(Original post by Airess3)
Very stuck, I've looked up books and the internet and tried to work backwards but have no idea why there's a loge (the e is a small e). The closest idea I got was the ideal thermodynamic efficiency n = 1-T2/T1 which kind of looks like the (T2/T1) in the equation of the question. How do I even start this?
- Show that the change of entropy delta S in a metal block of mass m and specific heat capacity C subjected to a change in temperature from T1 to T2 is delta S =mCloge(T2 /T1 ).
Very stuck, I've looked up books and the internet and tried to work backwards but have no idea why there's a loge (the e is a small e). The closest idea I got was the ideal thermodynamic efficiency n = 1-T2/T1 which kind of looks like the (T2/T1) in the equation of the question. How do I even start this?
dS during an infinitesimal reversible process at absolute temperature T
loge is natural log.
Spoiler:
This problem is found in the physics textbook that you have. It is a solved example in chapter 20.
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This problem is found in the physics textbook that you have. It is a solved example in chapter 20.
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#3
(Original post by Airess3)
Very stuck, I've looked up books and the internet and tried to work backwards but have no idea why there's a loge (the e is a small e). The closest idea I got was the ideal thermodynamic efficiency n = 1-T2/T1 which kind of looks like the (T2/T1) in the equation of the question. How do I even start this?
- Show that the change of entropy delta S in a metal block of mass m and specific heat capacity C subjected to a change in temperature from T1 to T2 is delta S =mCloge(T2 /T1 ).
Very stuck, I've looked up books and the internet and tried to work backwards but have no idea why there's a loge (the e is a small e). The closest idea I got was the ideal thermodynamic efficiency n = 1-T2/T1 which kind of looks like the (T2/T1) in the equation of the question. How do I even start this?
So the energy needed to heat a block of mass m, with specific heat capacity C by an amount dT is
thus we have that
I'll leave you to do the integral
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