First Law of Thermodynamics and ideal gas

AI Thread Summary
In an isothermal expansion of an ideal gas, the change in internal energy (ΔU) is zero because the temperature remains constant. The heat absorbed (Q) during this process equals the work done (W), which is 3.40x10^3 J. Initially, there was confusion regarding the sign convention, but it was clarified that since work is positive, heat absorbed should also be positive. Thus, the correct value for Q is 3400 J. The discussion emphasizes the importance of understanding thermodynamic principles and sign conventions in calculations.
brutalmadness
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Homework Statement


An ideal gas expands isothermally, performing 3.40x10^3 J of work in the process.
a) The change in internal energy of the gas
b) The heat absorbed during this expansion


Homework Equations


\DeltaU=Q-W


The Attempt at a Solution


a) Since it's isothermally expanding, there will be no change in internal temperature, so:
\DeltaU=0

b) Q=W, so:
Q=-3400 J
 
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Looks good, as long as positive heat means that the system is heating the environment and positive work means that the environment is doing work on the system. This sign convention is a little unconventional, though.
 
brutalmadness said:
b) Q=W, so:
Good.
Q=-3400 J
How did that negative sign sneak in? (W is positive, so Q is positive.)
 
Ah, ok. That was a silly mistake, lol :)

So Q=3400 J
 
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