Write the sign convention of work done during the expansion of gas.
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Remember, in terms of the first law of thermodynamics: during expansion, work ((W)) is less than zero ((W<0)), and during compression, work is greater than zero ((W>0)).
In thermodynamics, the sign convention for work done ((W)) is established as follows:
[
W is negative when the system (such as a gas) expands,
]
[
W is positive when the system is compressed,
]
This convention reflects that during expansion, work is done by the system on its surroundings, which results in a transfer of energy out of the system, hence the negative sign.