exhaustex·haust /ɪgˈzɔːst-ˈzɒːst/ verb [transitiveT]1if you exhaust a supply of something, you use it all, so that there is none leftThe museum was unable to buy the painting as its funds were exhausted by the purchase of two huge albums of eighteenth-century architectural drawings.
2to take all the natural supplies of something from a place such as a mine so that there is none leftCut-and-run logging is expected to exhaust the primary rainforest by the end of the decade.
an exhausted coal mine