How Does Polishing Affect Heat Flow in a Gold Ring?

AI Thread Summary
Polishing a 10.0 g gold ring resulted in a temperature increase of 15 degrees Celsius, indicating heat flow into the system. The relevant equation to calculate heat flow is ΔEtherm = Qin + Won, where ΔEtherm is determined using nCΔT. The specific heat capacity for an ideal solid is given as Cideal = 3R. The discussion raises the question of whether any mechanical work is done during polishing, suggesting that if there is no volume change, then no work is done, leading to the conclusion that ΔEtherm equals Qin. This analysis highlights the relationship between heat flow and temperature change in the context of polishing a gold ring.
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Homework Statement


You are polishing a 10.0 g gold ring. (treat as an ideal solid). After doing this for a minute, you find that the ring is hot, having increased the temperature by 15 deg C. Calculate the heat that flows into or out of the system and specify which direction.


Homework Equations


ΔEtherm=Qin+Won
ΔEtherm=nCΔT
Cideal=3R



The Attempt at a Solution


nCΔT=Qin+Won

I can calculate nCΔT, but I don't know what to do about the work. Once I find the work done, then I can find Q.
 
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Mechanical work can be written as -P\Delta V, where P is the pressure and \Delta V is the volume change. Has the ring changed volume?
 
Not that we know of. So, does that mean that there is no work done, so ΔEtherm=Qin?
 
Sure.
 
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