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Question Number 54770 by Tawa1 last updated on 10/Feb/19

$$\mathrm{A}\mathrm{glass}\mathrm{bottle}\mathrm{full}\mathrm{of}\mathrm{mercury}\mathrm{has}\mathrm{mass}500\mathrm{g}.\mathrm{On}\mathrm{being}\mathrm{heated}\mathrm{through}$$$$35°\mathrm{C},2.43\mathrm{g}\mathrm{of}\mathrm{mercury}\mathrm{are}\mathrm{expelled}.\mathrm{Calculate}\mathrm{the}\mathrm{mass}\mathrm{of}\mathrm{mercury}$$$$\mathrm{remaining}\mathrm{in}\mathrm{the}\mathrm{bottle}.(\mathrm{Cubic}\mathrm{expansivity}\mathrm{of}\mathrm{mercury}\mathrm{is}1.8\times {10}^{-4}{\mathrm{K}}^{-1},$$$$\mathrm{linear}\mathrm{expansivity}\mathrm{of}\mathrm{glass}\mathrm{is}8.0\times {10}^{-6}{\mathrm{K}}^{-1}.$$

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