Which of the following signs on q and w represent a system that receives work from the surroundings and receives heat from the surroundings?Group of answer choicesq = +, w = -q = +, w = +q = -, w = -q = -, w = +
Question
Which of the following signs on q and w represent a system that receives work from the surroundings and receives heat from the surroundings?Group of answer choicesq = +, w = -q = +, w = +q = -, w = -q = -, w = +
Solution
In thermodynamics, the sign conventions for work (w) and heat (q) are as follows:
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If the system does work on its surroundings, w is negative (-). If work is done on the system by its surroundings, w is positive (+).
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If heat is transferred from the system to its surroundings, q is negative (-). If heat is transferred from the surroundings to the system, q is positive (+).
So, a system that receives work from the surroundings and receives heat from the surroundings would have both q and w as positive. Therefore, the correct answer is "q = +, w = +".
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