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To make it even easier to understand, keep in mind that work can be converted to heat, and (although not all may be transferred) thus heat can be converted to work! Thus no change in volume (even though its the most common way to make work) is necessary for work. Hopefully this helps a little.
Besides mechanical work (by expansion), there are also chemical and electrical work. Heat is a kind of energy, it is not work. It can be converted to work by expanding the system. In this case it simply means there is no mechanical work which means no volume change.
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